Stability of Nonlinear Waves in Hamiltonian Dynamial Systems

Häftad, Engelska, 2025

Del i serien Mathematical Surveys and Monographs

1 615 kr

Beställningsvara. Skickas inom 5-8 vardagar. Fri frakt över 249 kr.

Beskrivning

This 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.

Produktinformation

Utgivningsdatum:2025-09-30
Mått:178 x 254 x undefined mm
Format:Häftad
Språk:Engelska
Serie:Mathematical Surveys and Monographs
Antal sidor:380
Förlag:American Mathematical Society
ISBN:9781470475529

Utforska kategorier

Mer om författaren

Anna Geyer, Delft University of Technology, The Netherlands.Dmitry E. Pelinovsky, McMaster University, Hamilton, ON, Canada.

Innehållsförteckning

Stability in finite-dimensional systemsStability of solitary wavesStability of periodic wavesOrbital stability in integrable Hamiltonian systemsSpectral stability in integrable Hamiltonian systemsStability of peaked wavesStability of domain walls and black solitonsJacobi elliptic functions and integralsSpectral theory for linear operatorsBibliographyIndex

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Stability of Nonlinear Waves in Hamiltonian Dynamial Systems

AvAnna Geyer,Dmitry E. Pelinovsky

Häftad, Engelska, 2025

Del i serien Mathematical Surveys and Monographs

1 615 kr

Beställningsvara. Skickas inom 5-8 vardagar. Fri frakt över 249 kr.

Beskrivning

Produktinformation

Utgivningsdatum:2025-09-30
Mått:178 x 254 x undefined mm
Format:Häftad
Språk:Engelska
Serie:Mathematical Surveys and Monographs
Antal sidor:380
Förlag:American Mathematical Society
ISBN:9781470475529

Utforska kategorier

Mer om författaren

Anna Geyer, Delft University of Technology, The Netherlands.Dmitry E. Pelinovsky, McMaster University, Hamilton, ON, Canada.

Innehållsförteckning

Stability in finite-dimensional systemsStability of solitary wavesStability of periodic wavesOrbital stability in integrable Hamiltonian systemsSpectral stability in integrable Hamiltonian systemsStability of peaked wavesStability of domain walls and black solitonsJacobi elliptic functions and integralsSpectral theory for linear operatorsBibliographyIndex