| Exact Analytic Solutions for the Caudrey Dodd-Gibbon-Kotera-Sawada Equation |
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| 作者姓名： | XU Xiao-ge~ |
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| 作者单位： | XU Xiao-ge~(1，2)，\ WEI Guang-mei~(1，3)1.Ministry of Education Key Laboratory of Fluid Mechanics and National Laboratory for Computational Fluid Dynamics，Beijing University of Aeronautics and Astronautics，Beijing 100083，P.R. China; 2.Beijing Information Technology Institute，Beijing 100101，P.R. China; 3.Department of Mathenatics，Beijing University of Aeronautics and Astronautics，Beijing 100083，P.R. China[KH+1*4D] |
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| 基金项目： | 中国科学院资助项目，the science and technology development program of Beijing Municipal Commission of Education，the Beijing Excellent Talent Fund |
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| 摘 要： | 1IntroductionSince the world around us is inherently nonlinear ,nonlinear Partial Differential Equations ( PDEs) arewidely used to describe complex phenomena in variousfields of sciences ,suchas plasma ,fluid dynamics , manyareas of solid state physics ,laser andfiber optics . Vari-ous methods for obtaining explicit traveling solitarywave solutions to nonlinear evolution equations havebeen proposed. Recently,the balancing-act method hasbeen widely applied to derive the nonlinear transforma-t…
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Exact Analytic Solutions for the Caudrey Dodd-Gibbon-Kotera-Sawada Equation |
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| XU Xiao-ge.Exact Analytic Solutions for the Caudrey Dodd-Gibbon-Kotera-Sawada Equation[J].The Journal of China Universities of Posts and Telecommunications,2005,12(4). |
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| Authors: | XU Xiao-ge WEI Guang-mei |
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| Abstract: | The Caudrey-Dodd-Gibbon-Kotera-Sawada (CDGKS) equation has attracted many physicists and mathematicians. In this paper, based on the idea of variable-coefficient balancing-act method and the computerized symbolic computation, some exact analytic solutions for the CDGKS equation have been obtained. |
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| Keywords: | balancing-act method computerized symbolic computation CDGKS equation exact analytic solutions |
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