Bifurcations of travelling wave solutions in a model of the hydrogen-bonded systems

DOI10.1016/j.amc.2005.01.058zbMath1106.35086OpenAlexW2086486120MaRDI QIDQ814715

Jianwei Shen, Wei Xu, Ji-Bin Li

Publication date: 7 February 2006

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

Full work available at URL: https://doi.org/10.1016/j.amc.2005.01.058

zbMATH Keywords

periodic travelling wave solutionkink and anti-kink wave solutionsSmoothness of wavesSolitary travelling wave solution

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Bifurcation theory for ordinary differential equations (34C23) Soliton equations (35Q51) Bifurcation problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K50)

Related Items

Bifurcation studies on travelling wave solutions for nonlinear intensity Klein-Gordon equation ⋮ Smooth and non-smooth travelling wave solutions of generalized Degasperis-Procesi equation ⋮ Periodic and soliton structures in a generalized Klein-Gordon equation with horizontal singular lines ⋮ Bifurcations of travelling wave solutions for modified nonlinear dispersive phi-four equation ⋮ Bifurcation of travelling wave solutions for the generalized KP-MEW equations ⋮ The effects of horizontal singular straight line in a generalized nonlinear Klein-Gordon model equation ⋮ Bifurcation of travelling wave solutions for the generalized ZK equations ⋮ Bifurcation of travelling wave solutions for the generalized ZK-BBM equations ⋮ Bifurcation of travelling wave solutions for the generalized Camassa-Holm-KP equations ⋮ BREAKING WAVE SOLUTIONS TO THE SECOND CLASS OF SINGULAR NONLINEAR TRAVELING WAVE EQUATIONS

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
• Traveling wave solutions for a class of nonlinear dispersive equations
• Travelling wave solutions in a model of the helix polypeptide chains
• Smooth and non-smooth traveling waves in a nonlinearly dispersive equation
• Unnamed Item
• Unnamed Item