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耦合离散mKdV方程的达布变换及其精确解

Darboux transformation of a discrete coupled mKdV equation and its explicit solutions
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摘要 借助谱问题的规范变换,给出与一个离散的2×2矩阵谱问题相联系的耦合离散mKdV方程的达布变换.作为应用,从所导出的达布变换得到了这个方程的精确解并作出了图形. With the help of a gauge transformation of the spectral problem,gave the Darboux transformation of a discrete coupled mKdV equation,which related to the discrete 2×2 matrix spectral problem.As an application,obtained the explicit solutions of the discrete coupled mKdV equation by the formerly constructed Darboux transformation and their graph.
出处 《周口师范学院学报》 CAS 2010年第5期33-37,共5页 Journal of Zhoukou Normal University
基金 周口师范学院青年科研基金资助项目(No.ZKNUQN200911)
关键词 离散谱问题 耦合离散mKdV方程 达布变换 精确解 discrete spectral problem discrete coupled mKdV equation Darboux transformation explicit solution
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