Exact Analytical Solutions of the Generalized Calogero-Bogoyavlenskii-Schiff Equation Using Symbolic Computation

Authors: Li B.¹; Chen Y.²

Source: Czechoslovak Journal of Physics, Volume 54, Number 5, May 2004 , pp. 517-528(12)

Publisher: Springer

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Abstract:

By means of generalized Riccati equation expansion method and symbolic computation, some exact analytical solutions, which contain soliton-like solutions and periodic-like solutions to the generalized Calogero-Bogoyavlenskii-Schiff (GCBS) equation, are obtained. From our results, the solitary-wave solutions and previously known soliton-like solutions of the special cases of GCBS equation can be recovered.

Keywords: generalized Riccati equation expansion method; nonlinear evolution equation; symbolic computation; soliton-like solutions; solitary wave solution

Document Type: Research article

DOI: http://dx.doi.org/10.1023/B:CJOP.0000024955.75594.8c

Affiliations: 1: Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, China and Key Laboratory of Mathematics Mechanization, Chinese Acad. Sci., Beijing 100080, China, Email: libiao@dlut.edu.cn 2: Department of Mathematics, Ningbo University, Ningbo 315211, China and Department of Physics, Shanghai Jiao-Tong University, Shanghai 200030, China

Publication date: 2004-05-01