1-Soliton Solution of the Coupled Nonlinear Klein-Gordon Equations

Ryan Sassaman, Matthew Edwards, Fayequa Majid, Anjan Biswas

Abstract


This paper studies the coupled Klein-Gordon equations in (1+1) and (1+2) dimensions. The cubic law of nonlinearity and arbitrary power law nonlinearity are considered in this paper. The 1-soliton solution of the coupled system, for both cases, is obtained. The solitary wave ansatz is used to carry out the integration. KeyWords: Solitons; Integrability; Coupled Klein-Gordon Equations

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DOI: http://dx.doi.org/10.3968/j.sms.1923845220120101.004

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