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.

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

Full Text: PDF