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Exact Analytic Solutions for the Caudrey Dodd-Gibbon-Kotera-Sawada Equation 被引量:1

Exact Analytic Solutions for the Caudrey Dodd-Gibbon-Kotera-Sawada Equation
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摘要 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 compu tation, some exact analytic solutions for the CDGKS equation have been obtained. 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 compu tation, some exact analytic solutions for the CDGKS equation have been obtained.
出处 《The Journal of China Universities of Posts and Telecommunications》 EI CSCD 2005年第4期85-87,共3页 中国邮电高校学报(英文版)
基金 This workis supported by the National Natural Science Foundation of China under Grant (60372095) by the science and technology development pro-gramof Beijing Municipal Commission of Education (KM200410772002) by the Beijing Excellent Talent Fund.
关键词 balancing-act method computerized symbolic computation CDGKS equation exact analytic solutions balancing-act method computerized symbolic computation CDGKS equation exact analytic solutions
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  • 1COFFEY M W.Nonlinear dynamics of vortices in ultraclean type-II superconductors:Integrable wave equations in cylindrical geometry [J].Physics Review B,1996,54(2):1279-1285.
  • 2HONG W P,JUNG Y D.Auto-Backlund transformation and solitary-wave solutions to non-integrable generalized fifth-order nonlinear evolution equations [J].Zeitschrift für Naturforschung A,1999,54(8-9):549-553.
  • 3GAO Y T,TIAN B.A variable-coefficient unstable nonlinear Schrodinger model for the electron beam plasmas and Rayleigh-Taylor instability in nonuniform plasmas:Solutions and observable effects[J].Physics of Plasmas,2003,10(11):4306-4313.
  • 4SAWADA K,KOTERA T.A method for finding N-soliton solutions of the KdV equationand KdV-like equation[J].Progress of Theoretical Physics,1974,51(5):1355-1367.
  • 5CAUDREY P J,DODD R K,GIBBON J D.A new hierarchy of Korteweg-de Vries equations[J].Proceedings of the Royal Society of London A,1976,351(1666):407-422.
  • 6SATSUMA J,KAUP D J.A Bcklund Transformation for a Higher Order Korteweg-De Vries Equation [J].Journal of the Physical Society of Japan,1977,43(2):692-697.
  • 7NUCCI M C.Pseudopotentials,Lax equations and backlund transformations for non-linear evolution equations[J].Journal of Physics A,1988,21(1):73-79.
  • 8CHAN W L,ZHENG Y K.Backlund transformations for the Caudrey-Dodd-Gibbon-Sawada-Kotera equation and its modified equation[J].Journal of Mathematical Physics,1989,30:2065-2068.
  • 9HU X B,Y.L.Some results on the Caudrey-Dodd-Gibbon-Kotera-Sawada equation[J].Journal of Physics A,1991,24:3205-3212.
  • 10FUCHSSTEINER B,OEVEL W.The bi-Hamiltonian structure of some nonlinear fifth- and seventh-order differential equations and recursion formulas for their symmetries and conserved covariants[J].Journal of Mathematical Physics,1982,23,358-363.

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