{"product_id":"symmetries-and-integrability-of-difference-equations-paperback-9780521596992","title":"Symmetries and Integrability of Difference Equations (Paperback) 9780521596992","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eSymmetries and Integrability of Difference Equations\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eThis volume comprises state-of-the-art articles in discrete integrable systems.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003ePeter A. Clarkson (Edited by), Frank W. Nijhoff (Edited by)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521596992, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback, published 4 February 1999\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e444 pages\u003cbr\u003e22.9 x 15.3 x 2.5 cm, 0.674 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e'… this book will form an inspiration for further research and so help to establish the links between the various communities working on discrete systems.' European Mathematical Society\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eThere has in recent years been a remarkable growth of interest in the area of discrete integrable systems. Much progress has been made by applying symmetry groups to the study of differential equations, and connections have been made to other topics such as numerical methods, cellular automata and mathematical physics. This volume comprises state of the art articles from almost all the leading workers in this important and rapidly developing area, making it a necessary resource for all researchers interested in discrete integrable systems or related subjects.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePart I. Partial Differential Equations: 1. Discrete linearisable Gambier equations A. K. Common, E. Hesameddini and M. Musette\u003cbr\u003e 2. Generalized Bäcklund transformation and new explicit solutions of the two-dimensional Toda equation X.-B. Hu and P. Clarkson\u003cbr\u003e 3. Different aspects of relativistic Toda Chain S. Kharchev, A. Mironov, A. Zhedanov\u003cbr\u003e Part II. Integrable Mappings: 4. Integrable symplectic maps A. Fordy\u003cbr\u003e 5. An iterative process on quartics and integrable symplectic maps J. P. Francoise, and O. Ragnisco\u003cbr\u003e 6. Integrable mappings of KdV type and hyperelliptic addition theorems F. Nijhoff and V. Z. Enolskii\u003cbr\u003e 7. R-matrix hierarchies, integrable lattice systems and their integrable discretizations Y. Suris\u003cbr\u003e Part III. Discrete Geometry: 8. Discrete conformal maps and surfaces A. Bobenko\u003cbr\u003e 9. The Bäcklund transformation for discrete isothermic surfaces J. Cieslinski\u003cbr\u003e 10. Integrable discrete geometry with ruler and compass A. Doliwa\u003cbr\u003e 11. Self-dual Einstein spaces and a discrete Tzitzeica equation. A permutability theorem link W. K. Schief\u003cbr\u003e Part IV. Asymptotic Analysis: 12. New solutions of the non-stationary Schrödinger and Kadomtsev-Petviashvili equation M. Ablowitz\u003cbr\u003e 13. On asymptotic analysis of the orthogonal polynomials via the Riemann-Hilbert method P. Bleher and A. Its\u003cbr\u003e 14. A new spectral transform for solving the continuous and spatially discrete heat equation on simple trees P. C. Bressloff and A. Fokas\u003cbr\u003e Part V. Discrete Painlevé Equations: 15. The discrete Painlevé hierarchy C. Cresswell and N. Joshi\u003cbr\u003e 16. Rational solutions to d-PIV  J. Hietarinta and K. Kajiwara\u003cbr\u003e 17. The discrete Painlevé II equation and the classical special functions K. Kajiwara\u003cbr\u003e 18. Freud's equations for orthogonal polynomials as discrete Painlevé equations A. Magnus\u003cbr\u003e Part VI. Symmetries of Difference Equations: 19. An approach to master symmetries of lattice equations B. Fuchssteiner and W. X. Ma\u003cbr\u003e 20. Symmetries and generalized symmetries for discrete dynamical systems D. Levi\u003cbr\u003e 21. Nonlinear difference equations with superposition formulas P. Winternitz\u003cbr\u003e Part VII. Numerical Methods and Miscellaneous: 22. Generalising the Painlevé truncation: expansions in Riccati pseudopotentials A. Fordy and A. Pickering\u003cbr\u003e 23. Symplectic Runge-Kutta schemes W. Oevel\u003cbr\u003e Part VIII. Cellular Automata: 24.  Soliton cellular automata C. Gilson\u003cbr\u003e 25. Painlevé equations and cellular automata B. Grammaticos and A. Ramani\u003cbr\u003e 26. 2+1 Dimensional soliton cellular automaton S. Moriwaki, A. Nagaki, J. Satsuma, T. Tokihiro, M. Torii, D. Takahashi and J. Matsukidaira\u003cbr\u003e Part IX. q-Special Functions and q-Difference Equations: 27. Fourier–Gauss transforms of  q-exponential and q-Bessel functions N. Atakishiyev\u003cbr\u003e 28. The Wilson bispectral involution: some elementary examples F. A. Grünbaum and L. Haine\u003cbr\u003e 29. Factorisation of Macdonald polynomials V. B. Kuztensov and E. K. Skylanin\u003cbr\u003e 30. Local Yang-Baxter relations associated with Hirota's discrete equation R. Kashaev\u003cbr\u003e 31. Ultra-discrete soliton systems J. Satsuma\u003cbr\u003e 32. Schrödinger equation on quantum homogeneous spaces F. Bonechi, R. Giachetti, E. Sorace, M. Tarlini\u003cbr\u003e 33. Some algebraic solutions of discrete equations from anticommuting variables C. Viallet\u003cbr\u003e 34. Q-combinatorics and quantum integrability A. Volkov.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Integral calculus \u0026amp; equations [\u003ca title=\"See our other books on Integral calculus \u0026amp; equations\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Integral%20calculus%20\u0026amp;%20equations%20%5BPBKL%5D%22\"\u003ePBKL\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46129209508120,"sku":"9780521596992","price":53.49,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521596992i.jpg?v=1691666351","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/symmetries-and-integrability-of-difference-equations-paperback-9780521596992","provider":"Freshly Printed Books","version":"1.0","type":"link"}