The N-soliton solutions of the sine-Gordon equation with self-consistent sources

Da-Jun Zhang and Deng-yuan Chen

Physica A: Statistical Mechanics and its Applications, 2003, vol. 321, issue 3, 467-481

Abstract: The hierarchy of the sine-Gordon equation with self-consistent sources is derived by using the eigenfunctions of recursion operator. The bilinear form of the sine-Gordon equation with self-consistent sources is given and the N-soliton solutions are obtained through Hirota method and Wronskian technique, respectively. Some novel determinantal identities are presented to treat the nonlinear term in the time evolution and finish the Wronskian verifications.

Keywords: Sine-Gordon equation with self-consistent sources; Hirota method; Wronskian technique (search for similar items in EconPapers)
Date: 2003
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:321:y:2003:i:3:p:467-481

DOI: 10.1016/S0378-4371(02)01742-9

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