Bifurcations of travelling wave solutions for a general sine-Gordon equation

DOI10.1016/j.chaos.2005.08.050zbMath1099.35116OpenAlexW2021220366MaRDI QIDQ2497711

Qing Meng, Yao Long, Bin He, Wei-Guo Rui

Publication date: 4 August 2006

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

Full work available at URL: https://doi.org/10.1016/j.chaos.2005.08.050

zbMATH Keywords

solitary wavekinkperiodic travelling waveanti-kink

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Solutions to PDEs in closed form (35C05) Bifurcation problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K50)

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Cites Work

• A direct method for solving sine-Gordon type equations
• Travelling wave solutions for a higher order wave equations of KdV type. I
• Symplectic computation of solitary waves for general sine-Gordon equations
• Smooth and non-smooth traveling waves in a nonlinearly dispersive equation