A Deformation of the Method of Characteristics and the Cauchy Problem for Hamiltonian PDEs in the Small Dispersion Limit

DOI10.1093/imrn/rnt223zbMath1317.35223arXiv1211.2676OpenAlexW3101626933MaRDI QIDQ5246397

Davide Masoero, Andrea Raimondo

Publication date: 21 April 2015

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1211.2676

zbMATH Keywords

conservation lawsHamiltonian perturbationsmall dispersion limit

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Hyperbolic conservation laws (35L65) Asymptotic expansions of solutions to PDEs (35C20)

Related Items (4)

Semiclassical limit for generalized KdV equations before the gradient catastrophe ⋮ Poisson pencils: reduction, exactness, and invariants ⋮ Spectrum of the reflection operators in different integrable structures ⋮ Critical behavior for scalar nonlinear waves

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