Title: On Soliton Solutions of the Nonlinear Coupled Klein-Gordon Equation
Abstract:The soliton solutions of the nonlinear Klein-Gordon and coupled nonlinear Klein-Gordon equations, u t t - u x x + m u - r | u | 2 u =0 and u t t - u x x + m u - r | u | 2 u -2 v u =0, v t t + v x x + ...The soliton solutions of the nonlinear Klein-Gordon and coupled nonlinear Klein-Gordon equations, u t t - u x x + m u - r | u | 2 u =0 and u t t - u x x + m u - r | u | 2 u -2 v u =0, v t t + v x x + r | u | 2 x x =0, are analysed to see a relation between the character of soliton solutions and the Painlevé property. It is also shown that the coupled nonlinear Klein-Gordon equation has the two-soliton resonant interaction solution.Read More
Publication Year: 1983
Publication Date: 1983-11-01
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 9
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