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Multi-Soliton Solutions and Interaction for a Generalized Variable- Coefficient Calogero–Bogoyavlenskii–Schiff Equation
-
Long Xue
,
Da-Wei Zuo
Published/Copyright:
June 2, 2014
In this paper, a generalized variable-coefficient Calogero-Bogoyavlenskii-Schiff equation is investigated. Based on the Bell polynomials and an auxiliary variable, bilinear forms of such an equation are obtained. One-, two-, and three-soliton solutions are given through the Hirota method and symbolic computation. N-soliton solutions are also constructed. Multi-soliton interaction and propagation are investigated and illustrated: (i) properties of the multi-soliton interaction on different planes in space depend on the forms of the only variable coefficient; (ii) positions of the solitons change when the wave numbers have the reverse signs.
Keywords: Generalized Variable-Coefficient Calogero-Bogoyavlenskii-Schiff Equation; Bell Polynomials; Bilinear Form; N-Soliton Solutions
Received: 2013-12-13
Revised: 2014-3-9
Published Online: 2014-6-2
Published in Print: 2014-6-1
© 1946 – 2014: Verlag der Zeitschrift für Naturforschung
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Keywords for this article
Generalized Variable-Coefficient Calogero-Bogoyavlenskii-Schiff Equation;
Bell Polynomials;
Bilinear Form;
N-Soliton Solutions
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