Bifurcation studies on travelling wave solutions for nonlinear intensity Klein-Gordon equation

DOI10.1016/j.amc.2006.11.106zbMath1124.35075OpenAlexW2003331670MaRDI QIDQ2381316

Da-He Feng, Jun-Liang Lu, Ji-Bin Li, Tian-Lan He

Publication date: 17 September 2007

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

Full work available at URL: https://doi.org/10.1016/j.amc.2006.11.106

zbMATH Keywords

solitary wavenonlinear Klein-Gordon equationphase portraitperiodic wavebifurcation curve

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Bifurcation problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K50) Software, source code, etc. for problems pertaining to partial differential equations (35-04)

Related Items (6)

Dynamical behavior of singular traveling waves of (\(n+1\))-dimensional nonlinear Klein-Gordon equation ⋮ Hopf bifurcation of traveling wave solutions of delayed Fisher-KPP equation ⋮ New exact solutions for Kudryashov-Sinelshchikov equation ⋮ Traveling wave solutions to the \((n+1)\)-dimensional sinh-cosh-Gordon equation ⋮ Bifurcation of traveling wave solutions of \((2+1)\)-dimensional Konopelchenko-Dubrovsky equations ⋮ Bifurcations and exact traveling wave solutions for the KdV-like equation

Uses Software

• Maple

Cites Work

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• Bifurcations of travelling wave solutions in a model of the hydrogen-bonded systems
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• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Travelling wave solutions in the generalized Hirota-Satsuma coupled KdV system
• Traveling wave solutions for a class of nonlinear dispersive equations
• Solutions of compact and noncompact structures for nonlinear Klein-Gordon-type equation
• Bounded travelling wave solutions for the (\(n+1\))-dimensional sine- and sinh-Gordon equations
• Bifurcation method and traveling wave solution to Whitham-Broer-Kaup equation
• Nonsymmetrical compacton and multi-compacton of nonlinear intensity Klein-Gordon equation
• The Hirota-Satsuma Coupled KdV Equation and a Coupled Ito System Revisited
• Symmetries and differential equations
• Smooth and non-smooth traveling waves in a nonlinearly dispersive equation

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