2005•Communications in Theoretical PhysicsOpen access

Extended sine-Gordon Equation Method and Its Application to Maccari's System

Lina Song, Hongqing Zhang

Abstract

An extended sine-Gordon equation method is proposed to construct exact travelling wave solutions to Maccari's equation based upon a generalized sine-Gordon equation. It is shown that more new travelling wave solutions can be found by this new method, which include bell-shaped soliton solutions, kink-shaped soliton solutions, periodic wave solution, and new travelling waves.

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Key concepts: Traveling wave, sine-Gordon equation, Soliton, Sine, Sine wave, Physics, Mathematical analysis, Mathematical physics