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COMPUTERIZED SYMBOLIC COMPUTATION FOR THE MODIFIED DISPERSIVE WATER WAVE EQUATIONS

YI-TIAN GAO and
BO TIAN

Institute of Fluid Mechanics and Department of Applied Physics, Beijing University of Aeronautics and Astronautics, Beijing 100083, China

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and

BO TIAN

Department of Applied Mathematics, Beijing University of Aeronautics and Astronautics, Beijing 100083, China

Corresponding author.

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https://doi.org/10.1142/S012918310100267XCited by:3 (Source: Crossref)

Abstract

With computerized symbolic computation, we present an auto-Bäcklund transformation and three families of soliton-like solutions to the modified dispersive water wave equations.

Keywords:

Modified dispersive water wave equations
nonlinear evolution equations
truncated Painlevé expansion
soliton-like solutions
exact analytic solutions
computerized symbolic computation

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Vol. 12, No. 09

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History

Received 9 August 2001

Revised 11 August 2001

Keywords

Modified dispersive water wave equations
nonlinear evolution equations
truncated Painlevé expansion
soliton-like solutions
exact analytic solutions
computerized symbolic computation

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COMPUTERIZED SYMBOLIC COMPUTATION FOR THE MODIFIED DISPERSIVE WATER WAVE EQUATIONS

Abstract

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