Steady gap solitons in a coupled Korteweg-de Vries system: A dynamical systems approach

DOI10.1016/j.physd.2010.01.016zbMath1186.37077OpenAlexW2003265798MaRDI QIDQ968512

Paul Christodoulides, R. H. J. Grimshaw

Publication date: 5 May 2010

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2010.01.016

zbMATH Keywords

solitary wavesnormal formsKorteweg-de Vries equationsgap solitons

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)

Related Items (2)

Symmetry breaking in linearly coupled Korteweg-de Vries systems ⋮ Rational solutions for the \((2+1)\)-dimensional modified KdV-CBS equation

Cites Work

• Gap-solitons in a three-layered stratified flow
• Perturbed homoclinic solutions in reversible 1:1 resonance vector fields
• Solitary waves of a coupled Korteweg-de Vries system
• Gap-soliton hunt in a coupled Korteweg-de Vries system
• Short-Wave Instability in a Three-Layer Stratified Shear Flow
• Weak and Strong Interactions between Internal Solitary Waves
• New type of gap soliton in a coupled Korteweg–de Vries wave system
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