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Topological and non-topological solitons of the Klein-Gordon equations in \(1+2\) dimensions. (English) Zbl 1204.35148

Summary: This paper obtains the topological and non-topological 1-soliton solution of the Klein-Gordon equation in \(1+2\) dimensions. There are five various forms of this equation that will be studied. The solitary wave ansatz will be used to carry out the integration.

MSC:

35Q53 KdV equations (Korteweg-de Vries equations)
35Q51 Soliton equations
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