Dynamical behavior of singular traveling waves of (\(n+1\))-dimensional nonlinear Klein-Gordon equation

DOI10.1007/s12346-018-0285-0zbMath1418.34089OpenAlexW2891114137MaRDI QIDQ2423708

Jian-Jun Jiao, Da-He Feng, Ji-Bin Li

Publication date: 20 June 2019

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12346-018-0285-0

zbMATH Keywords

singular systemKlein-Gordon equationphase portraitsregular systemnonanalytic waves

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Boundary value problems on infinite intervals for ordinary differential equations (34B40) Traveling wave solutions (35C07)

Related Items (6)

Traveling wave solutions of the complex Ginzburg-Landau equation with Kerr law nonlinearity ⋮ Bifurcations and exact traveling wave solutions of Gerdjikov-Ivanov equation with perturbation terms ⋮ Smooth travelling wave solutions in a generalized Degasperis-Procesi equation ⋮ Lie symmetry analysis, bifurcations and exact solutions for the (2+1)-dimensional dissipative long wave system ⋮ Exact traveling wave solutions and bifurcation of a generalized \((3+1)\)-dimensional time-fractional Camassa-Holm-Kadomtsev-Petviashvili equation ⋮ Travelling wave solutions of Wu-Zhang system via dynamic analysis

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Traveling wave solutions for a class of nonlinear dispersive equations
• Solutions of compact and noncompact structures for nonlinear Klein-Gordon-type equation
• Bifurcation studies on travelling wave solutions for nonlinear intensity Klein-Gordon equation
• Dynamics and bifurcations of travelling wave solutions of \(R(m, n)\) equations
• Nonsymmetrical compacton and multi-compacton of nonlinear intensity Klein-Gordon equation
• Numerical solution of the nonlinear Klein-Gordon equation
• Compactons: Solitons with finite wavelength
• Bifurcation Theory and Methods of Dynamical Systems
• Smooth and non-smooth traveling waves in a nonlinearly dispersive equation

This page was built for publication: Dynamical behavior of singular traveling waves of (\(n+1\))-dimensional nonlinear Klein-Gordon equation