Topological and non-topological solitons of the generalized Klein–Gordon equations

摘要

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.