Darboux Transformation and Explicit Solutions for Discretized Modified Korteweg-de Vries Lattice Equation

The modified Korteweg-de Vries （mKdV） typed equations can be used to describe certain nonlinear phenomena in fluids, plasmas, and optics. In this paper, the discretized mKdV lattice equation is investigated. With the aid of symbolic computation, the discrete matrix spectral problem for that system i...

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Bibliographic Details
Published inCommunications in theoretical physics Vol. 53; no. 5; pp. 825 - 830
Main Author WEN Xiao-Yong GAO Yi-Tian
Format Journal Article
LanguageEnglish
Published IOP Publishing 15.05.2010
Subjects
KdV
lattice
德弗里斯
等离子体
精确解
达布变换
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Summary:The modified Korteweg-de Vries （mKdV） typed equations can be used to describe certain nonlinear phenomena in fluids, plasmas, and optics. In this paper, the discretized mKdV lattice equation is investigated. With the aid of symbolic computation, the discrete matrix spectral problem for that system is constructed. Darboux transformation for that system is established based on the resulting spectral problem. Explicit solutions are derived via the Darboux transformation. Structures of those solutions are shown graphically, which might be helpful to understand some physical processes in fluids, plasmas, and optics.
Bibliography:Q754
O175.29
Darboux transformation, discretized modified Korteweg-de Vries lattice equation, explicit solutions, symbolic computation
11-2592/O3
ISSN:0253-6102
DOI:10.1088/0253-6102/53/5/07