Dynamical Behavior of Singular Traveling Waves of ( n + 1 )-Dimensional Nonlinear Klein-Gordon Equation

• Feng, Dahe ^[1] ; Li, Jibin ^[2] ; Jiao, Jianjun ^[1]
  1. [1] Guizhou University of Finance and Economics

     Guizhou University of Finance and Economics

     China

     
  2. [2] Huaqiao University

     Huaqiao University

     China

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 18, Nº 1, 2019, págs. 265-287
• Idioma: inglés
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• Resumen

  • This work researches the singular traveling wave system of the (n+1)-dimensional nonlinear Klein-Gordon equation via the bifurcation theory of dynamical systems. The bifurcations and phase portraits of the traveling wave system are investigated and the influence of singularity and nonlinearity on the dynamical behavior of traveling wave solutions is discussed. Accordingly the various sufficient conditions for the existence of analytic and nonanalytic traveling wave solutions are obtained. Furthermore some exact solutions are given to illustrate the results.