{"product_id":"stability-of-nonlinear-waves-in-hamiltonian-dynamial-systems-paperback-softback-9781470475529","title":"Stability of Nonlinear Waves in Hamiltonian Dynamial Systems (Paperback \/ softback) 9781470475529","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eStability of Nonlinear Waves in Hamiltonian Dynamial Systems\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cfont size=\"4\"\u003eAnna Geyer (Author), Dmitry E. Pelinovsky (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9781470475529\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback \/ softback, published 30 September 2025\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e380 pages\u003cbr\u003e25.4 x 17.8 x 2.1 cm, 0.748 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\"\u003eThis monograph offers a comprehensive and accessible treatment of both classical and modern approaches to the stability analysis of nonlinear waves in Hamiltonian systems. Starting with a review of stability of equilibrium points and periodic orbits in finite-dimensional systems, it advances to the infinite-dimensional setting, addressing orbital stability and linearization techniques for spatially decaying and spatially periodic solutions of nonlinear dispersive wave equations, such as the nonlinear Schrodinger, Korteweg-de Vries, and Camassa-Holm equations. The book rigorously develops foundational tools, such as the Vakhitov-Kolokolov slope criterion, the Grillakis-Shatah-Strauss approach, and the integrability methods, but it also introduces innovative adaptations of the stability analysis in problems where conventional methods fall short, including instability of peaked traveling waves and stability of solitary waves over nonzero backgrounds. Aimed at graduate students and researchers, this monograph consolidates decades of research and presents recent advancements in the field, making it an indispensable resource for those studying the stability of nonlinear waves in Hamiltonian systems.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e\u003cul\u003e\n\u003cli\u003eStability in finite-dimensional systems\u003c\/li\u003e\n\u003cli\u003e Stability of solitary waves\u003c\/li\u003e\n\u003cli\u003e Stability of periodic waves\u003c\/li\u003e\n\u003cli\u003e Orbital stability in integrable Hamiltonian systems\u003c\/li\u003e\n\u003cli\u003e Spectral stability in integrable Hamiltonian systems\u003c\/li\u003e\n\u003cli\u003e Stability of peaked waves\u003c\/li\u003e\n\u003cli\u003e Stability of domain walls and black solitons\u003c\/li\u003e\n\u003cli\u003e Jacobi elliptic functions and integrals\u003c\/li\u003e\n\u003cli\u003e Spectral theory for linear operators\u003c\/li\u003e\n\u003cli\u003e Bibliography\u003c\/li\u003e\n\u003cli\u003e Index\u003c\/li\u003e\n\u003c\/ul\u003e\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\r\n\u003c\/font\u003e","brand":"American Mathematical Society","offers":[{"title":"Brand New","offer_id":52589078544664,"sku":"9781470475529","price":115.99,"currency_code":"GBP","in_stock":true}],"url":"https:\/\/freshlyprintedbooks.co.uk\/products\/stability-of-nonlinear-waves-in-hamiltonian-dynamial-systems-paperback-softback-9781470475529","provider":"Freshly Printed Books","version":"1.0","type":"link"}