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

DOI

10.3906/fiz-1205-13

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.

Keywords

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

First Page

259

Last Page

267

Recommended Citation

ZHANG, ZAI-YUN (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: Vol. 37: No. 2, Article 14. https://doi.org/10.3906/fiz-1205-13
Available at: https://journals.tubitak.gov.tr/physics/vol37/iss2/14