DEFORMED KORTEWEG-DE VRIES EQUATION WITH SYMBOLIC COMPUTATION

Yi-Tian Gao and Bo Tian
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Yi-Tian Gao: Institute of Fluid Mechanics and Department of Applied Physics, Beijing University of Aeronautics and Astronautics, Beijing 100083, China
Bo Tian: Department of Applied Mathematics, Beijing University of Aeronautics and Astronautics, Beijing 100083, China

International Journal of Modern Physics C (IJMPC), 2001, vol. 12, issue 09, 1335-1344

Abstract: The Korteweg-de Vries-typed equations are the most important class of nonlinear evolution equations, with numerous applications in physical and engineering sciences. In this paper, for the deformed Korteweg-de Vries equation of the form$w_t =w_{xxx} +6w^2 w_x +D_x \{((3/2) \epsilon^2 ww_x^2) /(1 -\epsilon^2 w^2)\}$, we make use of computerized symbolic computation and obtain several families of new exact analytic solutions, some of which are solitonic.

Keywords: Nonlinear evolution equations; deformed Korteweg-de Vries equation; generalized hyperbolic-function method; algorithm; solitonic solutions; exact analytic solutions; computerized symbolic computation (search for similar items in EconPapers)
Date: 2001
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DOI: 10.1142/S012918310100270X

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