Journals / Turkish Journal of Physics / 2013 / Cilt: 37 - Sayı: 2

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

Pages
259–267
DOI
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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.

Özet

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