Discontinuous N-Soliton Solution for Semi-Discrete Sine-Gordon Equation
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概要
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We report the existence of the .N-discontinuous soliton solution for the semidiscretesine-Gordon equation under the vanishing boundary condition. First, we transformthe equation for the discontinuous solitons into Hirota's bilinear form. Next, weprove the .V-soliton solution for the bilinear variables using the mathematical induc-tion. We also discuss the complete classification of the 2-soliton solutions for thesemidiscrete sine-Gordon eq uation.
- 社団法人日本物理学会の論文
- 1988-08-15
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