Dynamics of Soliton-like Solutions for Slowly Varying, Generalized KdV Equations: Refraction versus Reflection

DOI10.1137/100809763zbMath1237.35134arXiv1009.4905OpenAlexW3101823640MaRDI QIDQ2882308

Claudio Muñoz

Publication date: 4 May 2012

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.4905

zbMATH Keywords

reflectionrefractionsoliton dynamicsintegrability theorygKdV equationsslowly varying medium

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) Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Soliton solutions (35C08)

Related Items (4)

The approximate solution for Benjamin-Bona-Mahony equation under slowly varying medium ⋮ On the solitary wave dynamics, under slowly varying medium, for nonlinear Schrödinger equations ⋮ Inelastic character of solitons of slowly varying gKdV equations ⋮ Benjamin–Ono soliton dynamics in a slowly varying potential

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