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MKdV方程的新精确孤立波解 被引量：2

New exact solitary wave solutions of MKdV equation
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摘要 本文从MKdV方程的平凡解U0=1和U0=-1出发,考虑该方程的精确孤立波解.通过求相应Lax对的解以及对参数μ选取不同数值的方式,得到了MKdV方程的六组新孤立波解.用同一种方法求出12个精确解. In the paper, the exact solitary wave solutions of the MKdV equation are considered, which begins with its trivial solutions U0 = 1 and U0 = - 1. By solving the solution for Lax pair on trivial solutions and choosing different values of the parameter μ, six groups of new solitary wave solutions are obtained. It is scare in similar documents and papers that twelve solitary wave solutions are solved by using the same method.
作者 黄英 杨波 马祖彦
机构地区 楚雄师范学院数学系 昆明机电工程学校
出处 《河南城建学院学报》 CAS 2010年第1期69-72,共4页 Journal of Henan University of Urban Construction
关键词 MKDV方程 LAX对 精确解 孤立波解 MKdV equation Lax pair exact solution solitary wave solutions
分类号 O175.2 [理学—基础数学]
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参考文献8

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二级参考文献52

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共引文献16

同被引文献23

  • 1套格图桑,斯仁道尔吉.mKdV方程和mKP方程组的新的精确孤立波解[J].高校应用数学学报（A辑）,2007,22(1):23-34. 被引量：7
  • 2李志斌.非线性数学物理方程的行波解[M].北京:科技出版社.2006.
  • 3M. J. Ablowitz, P. A. Clarkson, Solitons, Nonlinear E- volution Equations and Inverse Scattering, Cambridge U- niversity press 1991.
  • 4Jian - qin Mei, Hong - qing Zhang. New soliton - like and periodic - like solutions for the KdV equation Ap- plied Mathematics and Computation, 169 ( 2005 ) 589 - 599.
  • 5R. Sabry, M.A. Zabran, Engui Fan. A new generalized expansion method and its application in finding explicit exact solutions for a generalized variable coefficient KdV equation. Physics Letters A, 326(2004):93 - 101.
  • 6MingLiang Wang, Yueming Wang, Yubin Zhou. An auto Backlund transformation and exact solutions to a general- ized KdV equation with variable coefficients and their ap- plications. Physics Letters A, 303 ( 2002 ) 45 - 51.
  • 7黄英,马瑶,李保荣.Skillapplicationofthetheory:new solitary wave solutions and periodic solutions of the modified KdV equation, International journal of Func-tional Analysis, Operator Theory and Applications (2011) ,3(1).
  • 8黄英. New no - traveling wave solutions for the Liouville equation by B? cklund transformation method, Nonlinear Dyn, (2013) 72(1 -2).
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  • 10HUANG Y,MA Y,LI B R.Skill application of the theory:new solitary wave solutions and periodic solutions of the modified Kd V equation[J].International journal of Functional Analysis,Operator Theory and Applications,2011(01).

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河南城建学院学报
2010年 第1期

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