Solitary wave and chaotic behavior of traveling wave solutions for the coupled KdV equations

DOI10.1016/j.amc.2011.06.063zbMath1229.35246OpenAlexW2038896766MaRDI QIDQ654648

Yi Zhang, Ji-Bin Li

Publication date: 29 December 2011

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2011.06.063

zbMATH Keywords

solitary wave solutiontraveling wave solutionperiodic wave solutioncoupled KdV equationchaotic behavior of traveling wave

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53)

Related Items (1)

Orbital stability and dynamical behaviors of solitary waves for the Camassa-Holm equation with quartic nonlinearity

Cites Work

• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Horseshoes in perturbations of Hamiltonian systems with two degrees of freedom
• Global bifurcations and chaos. Analytical methods
• Coupled KdV equations derived from two-layer fluids
• Periodic orbits near an equilibrium and a theorem by Alan Weinstein

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