Bifurcations of traveling wave solutions in a coupled nonlinear wave equation

DOI10.1016/S0960-0779(02)00442-3zbMath1030.35142MaRDI QIDQ1416255

Li-jun Zhang, Ji-Bin Li

Publication date: 14 December 2003

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Bifurcations in context of PDEs (35B32) Local and nonlocal bifurcation theory for dynamical systems (37G99)

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Cites Work

• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Convergence of solitary-wave solutions in a perturbed bi-Hamiltonian dynamical system. I: Compactons and peakons
• Convergence of solitary-wave solutions in a perturbed bi-Hamiltonian dynamical system. II: Complex analytic behavior and convergence to non-analytic solutions
• Global smooth solution for a coupled non-linear wave equations
• Smooth and non-smooth traveling waves in a nonlinearly dispersive equation
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