Topological and non-topological solitons of the generalized Klein-Gordon equations |
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| Authors: | Ryan Sassaman |
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| Institution: | a Department of Applied Mathematics and Theoretical Physics, Delaware State University, Dover, DE 19901-2277, USA
b Center for Research and Education in Optical Sciences and Applications, Department of Applied Mathematics and Theoretical Physics, Delaware State University, Dover, DE 19901-2277, USA |
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| Abstract: | This paper obtains the 1-soliton solution of five various forms of the generalized nonlinear Klein-Gordon equations. The solitary wave ansatz is used to obtain the soliton solutions of each of these cases. Both topological as well as non-topological soliton solutions are obtained depending on the type of nonlinearity in question. The conserved quantities are also calculated for each of these five forms of generalized nonlinear Klein-Gordon equations. Each of these forms reduce to the previously known results, as special cases. |
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| Keywords: | Solitons Integrability Integrals of motion |
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