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The N-soliton solutions of some soliton equations with self-consistent sources

✍ Scribed by Da-jun Zhang

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
154 KB
Volume
18
Category
Article
ISSN
0960-0779

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✦ Synopsis

The hierarchy of the mKdV-sine-Gordon equation with self-consistent sources is derived. The N -soliton solutions of the mKdV-sine-Gordon equation with N self-consistent sources are obtained through Hirota method and Wronskian technique, respectively, from which we also reduce solutions for some soliton equations with self-consistent sources, such as one-dimensional atomic grid equation with self-consistent sources, the sine-Gordon equation with self-consistent sources, the mKdV equation with self-consistent sources and the KdV equation with self-consistent sources (KdVESCS). Finally, the mixed rational-soliton solutions in Wronskian form for the KdVESCS are discussed.

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