SOLITARY WAVE AND CHAOTIC BEHAVIOR OF TRAVELING WAVE SOLUTIONS FOR THE COUPLED SCHRÖDINGER-KDV EQUATIONS

DOI10.11948/2016070zbMath1463.34166OpenAlexW2489612780MaRDI QIDQ5121364

Hong Li, Lilin Ma, Kan-Min Wang

Publication date: 14 September 2020

Published in: Journal of Applied Analysis & Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11948/2016070

zbMATH Keywords

solitary wave solutionperiodic wave solutiontravelling wave solutioncoupled Schrödinger-KdV equationschaotic behavior of travelling wave

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) KdV equations (Korteweg-de Vries equations) (35Q53) Bifurcation theory for ordinary differential equations (34C23) NLS equations (nonlinear Schrödinger equations) (35Q55) Explicit solutions, first integrals of ordinary differential equations (34A05) Complex behavior and chaotic systems of ordinary differential equations (34C28) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Traveling wave solutions (35C07)

Cites Work

• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Horseshoes in perturbations of Hamiltonian systems with two degrees of freedom
• A partial differential equation with infinitely many periodic orbits: Chaotic oscillations of a forced beam
• Symmetry reductions and exact solutions to the systems of carbon nanotubes conveying fluid
• Effects of Quadratic Singular Curves in Integrable Equations
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: SOLITARY WAVE AND CHAOTIC BEHAVIOR OF TRAVELING WAVE SOLUTIONS FOR THE COUPLED SCHRÖDINGER-KDV EQUATIONS