SYMBOLIC COMPUTATION OF BÄCKLUND TRANSFORMATION AND EXACT SOLUTIONS TO THE VARIANT BOUSSINESQ MODEL FOR WATER WAVES

Bo Tian
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Bo Tian: Department of Applied Mathematics, Beijing University of Aeronautics and Astronautics, Engineering Research Institute, Beijing University, Beijing 100083, China

International Journal of Modern Physics C (IJMPC), 1999, vol. 10, issue 06, 983-987

Abstract: In this paper, we show how computerized symbolic computations can be used to find an auto-Bäcklund transformation and a family of exact analytical solutions to the variant Boussinesq model for water waves. Sample explicit solutions are presented, which are respectively solitonic and rational.

Keywords: Symbolic computation; Soliton equations; Variant boussinesq equations; Bäcklund transformation; Exact solutions; Solitonic solutions (search for similar items in EconPapers)
Date: 1999
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DOI: 10.1142/S0129183199000784

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