Long‐time dynamics of KdV solitary waves over a variable bottom

DOI10.1002/cpa.20120zbMath1145.35096arXivmath-ph/0411059OpenAlexW2134329938MaRDI QIDQ5471034

Israel Michael Sigal, Steven Dejak

Publication date: 6 June 2006

Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0411059

zbMATH Keywords

long time behaviourgeneralized KdV equationvariable bottom

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Solitary waves for incompressible inviscid fluids (76B25) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Soliton equations (35Q51)

Related Items (6)

Long-time dynamics of variable coefficient modified Korteweg-de Vries solitary waves ⋮ Effective dynamics of double solitons for perturbed mKdV ⋮ On the solitary wave dynamics, under slowly varying medium, for nonlinear Schrödinger equations ⋮ Solitons in the presence of a small, slowly varying perturbation ⋮ Inelastic character of solitons of slowly varying gKdV equations ⋮ Benjamin–Ono soliton dynamics in a slowly varying potential

Cites Work

• Global wellposedness for KdV below \(L^2\)
• Soliton dynamics in a potential
• SEMICLASSICAL LIMIT OF A CLASS OF SCHRÖDINGER EQUATIONS WITH POTENTIAL
• Mathematical concepts of quantum mechanics.
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