{"product_id":"nematicons-spatial-optical-solitons-in-nematic-liquid-crystals-hardback-9780470907245","title":"Nematicons; Spatial Optical Solitons in Nematic Liquid Crystals (Hardback) 9780470907245","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eNematicons\u003c\/font\u003e\u003cbr\u003e\r\n\u003cfont size=\"5\"\u003eSpatial Optical Solitons in Nematic Liquid Crystals\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eGaetano Assanto (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780470907245, Wiley\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 7 December 2012\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e456 pages\u003cbr\u003e24.4 x 16.3 x 2.8 cm, 0.762 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003e\u003cp\u003eThe first book of its kind to introduce the fundamentals, basic features and models, potential applications and novel phenomena and its important applications in liquid crystal technology.\u003c\/p\u003e \u003cp\u003eRecognized leader in the field Gaetano Assanto outlines the peculiar characteristics of nematicons and the promise they have for the future growth of this captivating new field.\u003c\/p\u003e\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePreface xv  \u003cp\u003eAcknowledgments xvii\u003c\/p\u003e \u003cp\u003eContributors xix\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 1. Nematicons 1\u003c\/b\u003e\u003cbr\u003e \u003ci\u003eGaetano Assanto, Alessandro Alberucci, and Armando Piccardi\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003e1.1 Introduction 1\u003c\/p\u003e \u003cp\u003e1.1.1 Nematic Liquid Crystals 1\u003c\/p\u003e \u003cp\u003e1.1.2 Nonlinear Optics and Solitons 3\u003c\/p\u003e \u003cp\u003e1.1.3 Initial Results on Light Self-Focusing in Liquid Crystals 3\u003c\/p\u003e \u003cp\u003e1.2 Models 4\u003c\/p\u003e \u003cp\u003e1.2.1 Scalar Perturbative Model 5\u003c\/p\u003e \u003cp\u003e1.2.2 Anisotropic Perturbative Model 9\u003c\/p\u003e \u003cp\u003e1.3 Numerical Simulations 13\u003c\/p\u003e \u003cp\u003e1.3.1 Nematicon Profile 13\u003c\/p\u003e \u003cp\u003e1.3.2 Gaussian Input 14\u003c\/p\u003e \u003cp\u003e1.4 Experimental Observations 17\u003c\/p\u003e \u003cp\u003e1.4.1 Nematicon–Nematicon Interactions 22\u003c\/p\u003e \u003cp\u003e1.4.2 Modulational Instability 26\u003c\/p\u003e \u003cp\u003e1.5 Conclusions 31\u003c\/p\u003e \u003cp\u003eReferences 33\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 2. Features of Strongly Nonlocal Spatial Solitons 37\u003c\/b\u003e\u003cbr\u003e \u003ci\u003eQi Guo, Wei Hu, Dongmei Deng, Daquan Lu, and Shigen Ouyang\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003e2.1 Introduction 37\u003c\/p\u003e \u003cp\u003e2.2 Phenomenological Theory of Strongly Nonlocal Spatial Solitons 38\u003c\/p\u003e \u003cp\u003e2.2.1 The Nonlinearly Induced Refractive Index Change of Materials 38\u003c\/p\u003e \u003cp\u003e2.2.2 From the Nonlocal Nonlinear Schr¨odinger Equation to the Snyder–Mitchell Model 39\u003c\/p\u003e \u003cp\u003e2.2.3 An Accessible Soliton of the Snyder–Mitchell Model 42\u003c\/p\u003e \u003cp\u003e2.2.4 Breather and Soliton Clusters of the Snyder–Mitchell Model 45\u003c\/p\u003e \u003cp\u003e2.2.5 Complex-Variable-Function Gaussian Breathers and Solitons 46\u003c\/p\u003e \u003cp\u003e2.2.6 Self-Induced Fractional Fourier Transform 47\u003c\/p\u003e \u003cp\u003e2.3 Nonlocal Spatial Solitons in Nematic Liquid Crystals 49\u003c\/p\u003e \u003cp\u003e2.3.1 Voltage-Controllable Characteristic Length of NLC 50\u003c\/p\u003e \u003cp\u003e2.3.2 Nematicons as Strongly Nonlocal Spatial Solitons 52\u003c\/p\u003e \u003cp\u003e2.3.3 Nematicon–Nematicon Interactions 54\u003c\/p\u003e \u003cp\u003e2.4 Conclusion 61\u003c\/p\u003e \u003cp\u003eAppendix 2.A: Proof of the Equivalence of the Snyder–Mitchell Model (Eq. 2.16) and the Strongly Nonlocal Model (Eq. 2.11) 61\u003c\/p\u003e \u003cp\u003eAppendix 2.B: Perturbative Solution for a Single Soliton of the NNLSE (Eq. 2.4) in NLC 62\u003c\/p\u003e \u003cp\u003eReferences 66\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 3. Theoretical Approaches to Nonlinear Wave Evolution in Higher Dimensions 71\u003c\/b\u003e\u003cbr\u003e \u003ci\u003eAntonmaria A. Minzoni and Noel F. Smyth\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003e3.1 Simple Example of Multiple Scales Analysis 71\u003c\/p\u003e \u003cp\u003e3.2 Survey of Perturbation Methods for Solitary Waves 77\u003c\/p\u003e \u003cp\u003e3.3 Linearized Perturbation Theory for Nonlinear Schr¨odinger Equation 81\u003c\/p\u003e \u003cp\u003e3.4 Modulation Theory: Nonlinear Schr¨odinger Equation 83\u003c\/p\u003e \u003cp\u003e3.5 Radiation Loss 88\u003c\/p\u003e \u003cp\u003e3.6 Solitary Waves in Nematic Liquid Crystals: Nematicons 91\u003c\/p\u003e \u003cp\u003e3.7 Radiation Loss for The Nematicon Equations 96\u003c\/p\u003e \u003cp\u003e3.8 Choice of Trial Function 101\u003c\/p\u003e \u003cp\u003e3.9 Conclusions 105\u003c\/p\u003e \u003cp\u003eAppendix 3.A: Integrals 106\u003c\/p\u003e \u003cp\u003eAppendix 3.B: Shelf Radius 107\u003c\/p\u003e \u003cp\u003eReferences 108\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 4. Soliton Families in Strongly Nonlocal Media 111\u003c\/b\u003e\u003cbr\u003e \u003ci\u003eWei-Ping Zhong and Milivoj R. Beli¸c\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003e4.1 Introduction 111\u003c\/p\u003e \u003cp\u003e4.2 Mathematical Models 112\u003c\/p\u003e \u003cp\u003e4.2.1 General 112\u003c\/p\u003e \u003cp\u003e4.2.2 Nonlocality Through Response Function 113\u003c\/p\u003e \u003cp\u003e4.3 Soliton Families in Strongly Nonlocal Nonlinear Media 115\u003c\/p\u003e \u003cp\u003e4.3.1 One-Dimensional Hermite–Gaussian Spatial Solitons 115\u003c\/p\u003e \u003cp\u003e4.3.2 Two-Dimensional Laguerre–Gaussian Soliton Families 116\u003c\/p\u003e \u003cp\u003e4.3.3 Accessible Solitons in the General Model of Beam Propagation in NLC 118\u003c\/p\u003e \u003cp\u003e4.3.4 Two-Dimensional Self-Similar Hermite–Gaussian Spatial Solitons 125\u003c\/p\u003e \u003cp\u003e4.3.5 Two-Dimensional Whittaker Solitons 126\u003c\/p\u003e \u003cp\u003e4.4 Conclusions 133\u003c\/p\u003e \u003cp\u003eReferences 135\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 5. External Control of Nematicon Paths 139\u003c\/b\u003e\u003cbr\u003e \u003ci\u003eArmando Piccardi, Alessandro Alberucci, and Gaetano Assanto\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003e5.1 Introduction 139\u003c\/p\u003e \u003cp\u003e5.2 Basic Equations 140\u003c\/p\u003e \u003cp\u003e5.3 Nematicon Control with External Light Beams 142\u003c\/p\u003e \u003cp\u003e5.3.1 Interaction with Circular Spots 143\u003c\/p\u003e \u003cp\u003e5.3.2 Dielectric Interfaces 145\u003c\/p\u003e \u003cp\u003e5.3.3 Comments 146\u003c\/p\u003e \u003cp\u003e5.4 Voltage Control of Nematicon Walk-Off 147\u003c\/p\u003e \u003cp\u003e5.4.1 Out-of-Plane Steering of Nematicons 147\u003c\/p\u003e \u003cp\u003e5.4.2 In-Plane Steering of Nematicon 149\u003c\/p\u003e \u003cp\u003e5.5 Voltage-Defined Interfaces 152\u003c\/p\u003e \u003cp\u003e5.6 Conclusions 156\u003c\/p\u003e \u003cp\u003eReferences 156\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 6. Dynamics of Optical Solitons in Bias-Free Nematic Liquid Crystals 159\u003c\/b\u003e\u003cbr\u003e \u003ci\u003eYana V. Izdebskaya, Anton S. Desyatnikov, and Yuri S. Kivshar\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003e6.1 Summary 159\u003c\/p\u003e \u003cp\u003e6.2 Introduction 159\u003c\/p\u003e \u003cp\u003e6.3 From One to Two Nematicons 160\u003c\/p\u003e \u003cp\u003e6.4 Counter-Propagating Nematicons 162\u003c\/p\u003e \u003cp\u003e6.5 Interaction of Nematicons with Curved Surfaces 165\u003c\/p\u003e \u003cp\u003e6.6 Multimode Nematicon-Induced Waveguides 167\u003c\/p\u003e \u003cp\u003e6.7 Dipole Azimuthons and Charge-Flipping 170\u003c\/p\u003e \u003cp\u003e6.8 Conclusions 172\u003c\/p\u003e \u003cp\u003eReferences 173\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 7. Interaction of Nematicons and Nematicon Clusters 177\u003c\/b\u003e\u003cbr\u003e \u003ci\u003eCatherine Garc´ýa-Reimbert, Antonmaria A. Minzoni, and Noel F. Smyth\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003e7.1 Introduction 177\u003c\/p\u003e \u003cp\u003e7.2 Gravitation of Nematicons 179\u003c\/p\u003e \u003cp\u003e7.3 In-Plane Interaction of Two-Color Nematicons 184\u003c\/p\u003e \u003cp\u003e7.4 Multidimensional Clusters 190\u003c\/p\u003e \u003cp\u003e7.5 Vortex Cluster Interactions 199\u003c\/p\u003e \u003cp\u003e7.6 Conclusions 205\u003c\/p\u003e \u003cp\u003eAppendix: Integrals 206\u003c\/p\u003e \u003cp\u003eReferences 206\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 8. Nematicons in Light Valves 209\u003c\/b\u003e\u003cbr\u003e \u003ci\u003eStefania Residori, Umberto Bortolozzo, Armando Piccardi, Alessandro Alberucci, and Gaetano Assanto\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003e8.1 Introduction 209\u003c\/p\u003e \u003cp\u003e8.2 Reorientational Kerr Effect and Soliton Formation in Nematic Liquid Crystals 210\u003c\/p\u003e \u003cp\u003e8.2.1 Optically Induced Reorientational Nonlinearity 211\u003c\/p\u003e \u003cp\u003e8.2.2 Spatial Solitons in Nematic Liquid Crystals 211\u003c\/p\u003e \u003cp\u003e8.3 Liquid Crystal Light Valves 212\u003c\/p\u003e \u003cp\u003e8.3.1 Cell Structure and Working Principle 213\u003c\/p\u003e \u003cp\u003e8.3.2 Optical Addressing in Transverse Configurations 215\u003c\/p\u003e \u003cp\u003e8.4 Spatial Solitons in Light Valves 216\u003c\/p\u003e \u003cp\u003e8.4.1 Stable Nematicons: Self-Guided Propagation in the Longitudinal Direction 216\u003c\/p\u003e \u003cp\u003e8.4.2 Tuning the Soliton Walk-Off 218\u003c\/p\u003e \u003cp\u003e8.5 Soliton Propagation in 3D Anisotropic Media: Model and Experiment 220\u003c\/p\u003e \u003cp\u003e8.5.1 Optical Control of Nematicon Trajectories 224\u003c\/p\u003e \u003cp\u003e8.6 Soliton Gating and Switching by External Beams 224\u003c\/p\u003e \u003cp\u003e8.7 Conclusions and Perspectives 227\u003c\/p\u003e \u003cp\u003eReferences 229\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 9. Propagation of Light Confined via Thermo-Optical Effect in Nematic Liquid Crystals 233\u003c\/b\u003e\u003cbr\u003e \u003ci\u003eMarc Warenghem, Jean-Francois Blach, and Jean-Francois Henninot\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003e9.1 Introduction 233\u003c\/p\u003e \u003cp\u003e9.2 First Observation in NLC 235\u003c\/p\u003e \u003cp\u003e9.3 Characterization and Nonlocality Measurement 240\u003c\/p\u003e \u003cp\u003e9.4 Thermal Versus Orientational Self-Waveguides 246\u003c\/p\u003e \u003cp\u003e9.5 Applications 248\u003c\/p\u003e \u003cp\u003e9.5.1 Bent Waveguide 248\u003c\/p\u003e \u003cp\u003e9.5.2 Fluorescence Recovery 249\u003c\/p\u003e \u003cp\u003e9.6 Conclusions 250\u003c\/p\u003e \u003cp\u003eReferences 252\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 10. Discrete Light Propagation in Arrays of Liquid Crystalline Waveguides 255\u003c\/b\u003e\u003cbr\u003e \u003ci\u003eKatarzyna A. Rutkowska, Gaetano Assanto, and Miroslaw A. Karpierz\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003e10.1 Introduction 255\u003c\/p\u003e \u003cp\u003e10.2 Discrete Systems 256\u003c\/p\u003e \u003cp\u003e10.3 Waveguide Arrays in Nematic Liquid Crystals 258\u003c\/p\u003e \u003cp\u003e10.4 Discrete Diffraction and Discrete Solitons 263\u003c\/p\u003e \u003cp\u003e10.5 Optical Multiband Vector Breathers 265\u003c\/p\u003e \u003cp\u003e10.6 Nonlinear Angular Steering 267\u003c\/p\u003e \u003cp\u003e10.7 Landau–Zener Tunneling 268\u003c\/p\u003e \u003cp\u003e10.8 Bloch Oscillations 270\u003c\/p\u003e \u003cp\u003e10.9 Conclusions 272\u003c\/p\u003e \u003cp\u003eReferences 273\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 11. Power-Dependent Nematicon Self-Routing 279\u003c\/b\u003e\u003cbr\u003e \u003ci\u003eAlessandro Alberucci, Armando Piccardi, and Gaetano Assanto\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003e11.1 Introduction 279\u003c\/p\u003e \u003cp\u003e11.2 Nematicons: Governing Equations 280\u003c\/p\u003e \u003cp\u003e11.2.1 Perturbative Regime 282\u003c\/p\u003e \u003cp\u003e11.2.2 Highly Nonlinear Regime 284\u003c\/p\u003e \u003cp\u003e11.2.3 Simplified (1 + 1)D Model in a Planar Cell 285\u003c\/p\u003e \u003cp\u003e11.3 Single-Hump Nematicon Profiles 287\u003c\/p\u003e \u003cp\u003e11.3.1 (2 + 1)D Complete Model 288\u003c\/p\u003e \u003cp\u003e11.3.2 (1 + 1)D Simplified Model 289\u003c\/p\u003e \u003cp\u003e11.4 Actual Experiments: Role of Losses 290\u003c\/p\u003e \u003cp\u003e11.4.1 BPM (1 + 1)D Simulations 291\u003c\/p\u003e \u003cp\u003e11.4.2 Experiments 292\u003c\/p\u003e \u003cp\u003e11.5 Nematicon Self-Steering in Dye-Doped NLC 293\u003c\/p\u003e \u003cp\u003e11.6 Boundary Effects 298\u003c\/p\u003e \u003cp\u003e11.7 Nematicon Self-Steering Through Interaction with Linear Inhomogeneities 302\u003c\/p\u003e \u003cp\u003e11.7.1 Interfaces: Goos-H¨anchen Shift 303\u003c\/p\u003e \u003cp\u003e11.7.2 Finite-Size Defects: Nematicon Self-Escape 304\u003c\/p\u003e \u003cp\u003e11.8 Conclusions 305\u003c\/p\u003e \u003cp\u003eReferences 306\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 12. Twisted and Chiral Nematicons 309\u003c\/b\u003e\u003cbr\u003e \u003ci\u003eUrszula A. Laudyn and Miroslaw A. Karpierz\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003e12.1 Introduction 309\u003c\/p\u003e \u003cp\u003e12.2 Chiral and Twisted Nematics 310\u003c\/p\u003e \u003cp\u003e12.3 Theoretical Model 312\u003c\/p\u003e \u003cp\u003e12.4 Experimental Results 314\u003c\/p\u003e \u003cp\u003e12.4.1 Nematicons in a Single Layer 314\u003c\/p\u003e \u003cp\u003e12.4.2 Asymmetric Configuration 315\u003c\/p\u003e \u003cp\u003e12.4.3 Multilayer Propagation 317\u003c\/p\u003e \u003cp\u003e12.4.4 Influence of an External Electric Field 317\u003c\/p\u003e \u003cp\u003e12.4.5 Guiding Light by Light 319\u003c\/p\u003e \u003cp\u003e12.4.6 Nematicon Interaction 319\u003c\/p\u003e \u003cp\u003e12.5 Discrete Diffraction 321\u003c\/p\u003e \u003cp\u003e12.6 Conclusions 323\u003c\/p\u003e \u003cp\u003eReferences 323\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 13. Time Dependence of Spatial Solitons in Nematic Liquid Crystals 327\u003c\/b\u003e\u003cbr\u003e \u003ci\u003eJeroen Beeckman and Kristiaan Neyts\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003e13.1 Introduction 327\u003c\/p\u003e \u003cp\u003e13.2 Temporal Behavior of Different Nonlinearities and Governing Equations 328\u003c\/p\u003e \u003cp\u003e13.2.1 Reorientational Nonlinearity 328\u003c\/p\u003e \u003cp\u003e13.2.2 Thermal Nonlinearity 331\u003c\/p\u003e \u003cp\u003e13.2.3 Other Nonlinearities 333\u003c\/p\u003e \u003cp\u003e13.3 Formation of Reorientational Solitons 333\u003c\/p\u003e \u003cp\u003e13.3.1 Bias Voltage Switching Time 334\u003c\/p\u003e \u003cp\u003e13.3.2 Soliton Formation Time 336\u003c\/p\u003e \u003cp\u003e13.3.3 Experimental Observation of Soliton Formation 337\u003c\/p\u003e \u003cp\u003e13.3.4 Influence of Flow Effects 341\u003c\/p\u003e \u003cp\u003e13.4 Conclusions 344\u003c\/p\u003e \u003cp\u003eReferences 344\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 14. Spatiotemporal Dynamics and Light Bullets in Nematic Liquid Crystals 347\u003c\/b\u003e\u003cbr\u003e \u003ci\u003eMarco Peccianti\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003e14.1 Introduction 347\u003c\/p\u003e \u003cp\u003e14.1.1 (2 + 1 + 1)D Nonlinear Wave Propagation in Kerr Media 348\u003c\/p\u003e \u003cp\u003e14.2 Optical Propagation Under Multiple Nonlinear Contributions 349\u003c\/p\u003e \u003cp\u003e14.2.1 Multiple Nonlinearities and Space–Time Decoupling of the Nonlinear Dynamics 349\u003c\/p\u003e \u003cp\u003e14.2.2 Suitable Excitation Conditions 350\u003c\/p\u003e \u003cp\u003e14.3 Accessible Light Bullets 351\u003c\/p\u003e \u003cp\u003e14.3.1 From Nematicons to Spatiotemporal Solitons 351\u003c\/p\u003e \u003cp\u003e14.3.2 Experimental Conditions for Accessible Bullets Observation 353\u003c\/p\u003e \u003cp\u003e14.4 Temporal Modulation Instability in Nematicons 355\u003c\/p\u003e \u003cp\u003e14.5 Soliton-Enhanced Frequency Conversion 355\u003c\/p\u003e \u003cp\u003e14.6 Conclusions 357\u003c\/p\u003e \u003cp\u003eReferences 358\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 15. Vortices in Nematic Liquid Crystals 361\u003c\/b\u003e\u003cbr\u003e \u003ci\u003eAntonmaria A. Minzoni, Luke W. Sciberras, Noel F. Smyth, and Annette L. Worthy\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003e15.1 Introduction 361\u003c\/p\u003e \u003cp\u003e15.2 Stabilization of Vortices in Nonlocal, Nonlinear Media 364\u003c\/p\u003e \u003cp\u003e15.3 Vortex in a Bounded Cell 373\u003c\/p\u003e \u003cp\u003e15.4 Stabilization of Vortices by Vortex–Beam Interaction 378\u003c\/p\u003e \u003cp\u003e15.5 Azimuthally Dependent Vortices 382\u003c\/p\u003e \u003cp\u003e15.6 Conclusions 387\u003c\/p\u003e \u003cp\u003eReferences 389\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 16. Dispersive Shock Waves in Reorientational and Other Optical Media 391\u003c\/b\u003e\u003cbr\u003e \u003ci\u003eTim R. Marchant\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003e16.1 Introduction 391\u003c\/p\u003e \u003cp\u003e16.2 Governing Equations and Modulational Instability 392\u003c\/p\u003e \u003cp\u003e16.3 Existing Experimental and Numerical Results 394\u003c\/p\u003e \u003cp\u003e16.4 Analytical Solutions for Defocusing Equations 396\u003c\/p\u003e \u003cp\u003e16.5 Analytical Solutions for Focusing Equations 398\u003c\/p\u003e \u003cp\u003e16.5.1 The 1 + 1 Dimensional Semianalytical Soliton 400\u003c\/p\u003e \u003cp\u003e16.5.2 Uniform Soliton Theory 402\u003c\/p\u003e \u003cp\u003e16.5.3 Comparisons with Numerical Solutions 403\u003c\/p\u003e \u003cp\u003e16.6 Conclusions 406\u003c\/p\u003e \u003cp\u003eReferences 407\u003c\/p\u003e \u003cp\u003eIndex 411\u003c\/p\u003e\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Physics [\u003ca title=\"See our other books on Physics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Physics%20%5BPH%5D%22\"\u003ePH\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Wiley","offers":[{"title":"Brand New","offer_id":52278117269784,"sku":"9780470907245","price":111.98,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/files\/9780470907245.jpg?v=1781458407","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/nematicons-spatial-optical-solitons-in-nematic-liquid-crystals-hardback-9780470907245","provider":"Freshly Printed Books","version":"1.0","type":"link"}