Exact traveling wave solutions of the perturbed Klein--Gordon equation with quadratic nonlinearity in (1+1)-dimension, Part I: Without local inductance and dissipation effect

Authors

ZAI-YUN ZHANG

Abstract

In this paper, the auxiliary ordinary differential equation is employed to solve the perturbed Klein-Gordon equation with quadratic nonlinearity in the (1+1)-dimension without local inductance and dissipation effect. By using this method, we obtain abundant new types of exact traveling wave solutions.

DOI

10.3906/fiz-1205-13

Keywords

Perturbed Klein-Gordon equation, traveling wave solutions, auxiliary ordinary differential equation method

First Page

259

Last Page

267

Recommended Citation

ZHANG, Z (2013). Exact traveling wave solutions of the perturbed Klein--Gordon equation with quadratic nonlinearity in (1+1)-dimension, Part I: Without local inductance and dissipation effect. Turkish Journal of Physics 37 (2): 259-267. https://doi.org/10.3906/fiz-1205-13