Traveling wave solutions of degenerate coupled Korteweg-de Vries equation

DOI10.1063/1.4893636zbMath1303.35090arXiv1308.5649OpenAlexW3124640855MaRDI QIDQ2924869

Aslı Pekcan, Metin Gürses

Publication date: 20 October 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1308.5649

zbMATH Keywords

KdV equationJacobi elliptic functionsKB equations

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Periodic solutions to PDEs (35B10) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Traveling wave solutions (35C07) Soliton solutions (35C08)

Related Items (3)

Energy-dependent reflectionless inverse scattering ⋮ Exact solutions and conservation laws of multi Kaup-Boussinesq system with fractional order ⋮ Traveling wave solutions of degenerate coupled multi-KdV equations

Cites Work

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• Factorisation of energy dependent Schrödinger operators: Miura maps and modified systems
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• Wave Breaking and the Generation of Undular Bores in an Integrable Shallow Water System
• Schrödinger spectral problems with energy–dependent potentials as sources of nonlinear Hamiltonian evolution equations
• Integrable coupled KdV systems
• Integrable Shallow-Water Equations and Undular Bores
• Integrable Models for Shallow Water with Energy Dependent Spectral Problems

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