THE SOLITARY WAVE SOLUTIONS FOR A CLASS OF NONLINEAR WAVE EQUATIONS

Abstract
Some solitary wave solutions for a class of nonlinear wave equations utt-a1uxx+a2ut+a3u+a4u3=0 are obtained by homogeneous balance method and Wu-eliminition method. Many well-known equations in physics such as φ4 equation, Klein-Gordon equation, Duffing equation and telegraph equation are special cases of the wave equation presented in this paper.

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