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  Physics Express 2011, 1: 2
  Research Article
1-Soliton solution of the perturbed Klein-Gordon equation
  Ryan Sassaman, Anjan Biswas*  
Department of Mathematical Sciences, Center for Research and Education in Optical Sciences and Applications, Delaware State University, Dover, DE 19901-2277, USA
  This paper studies the nonlinear Klein-Gordon equations with perturbation terms. There are five forms of nonlinearity that are being taken into consideration. The exact 1-soliton solution of the perturbed nonlinear Klein-Gordon equation is obtained for each of these five forms of nonlinearity. The soliton ansatz method is utilized. The parameter domains are also identified.
  Klein-Gordon equation; 1-soliton solution; Integrability; Topological solitons  

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