| 一个离散晶格方程的N波Darboux变换和无穷守恒律 |
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| 引用本文： | 闻小永.一个离散晶格方程的N波Darboux变换和无穷守恒律[J].数学的实践与认识,2012,42(13):246-252. |
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| 作者姓名： | 闻小永 |
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| 作者单位： | 北京航空航天大学航空科学与工程学院,北京100191;北京信息科技大学理学院数学系,北京100192 |
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| 基金项目： | 北京市教育委员会科技发展计划面上项目基金资助项目;编号KM201010772020 |
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| 摘 要： | 根据已知离散晶格方程的Lax对,构建了该方程的Ⅳ波Darboux变换和无穷守恒律,通过应用Darboux变换,得到离散晶格方程的范德蒙行列式形式的精确解,通过画图给出了该方程一类特殊的单孤子结构.
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| 关 键 词： | 离散晶格方程 Darboux变换 Lax对 精确解 守恒律 |
N-fold Darboux Transformation and Infinitely Many Conservation Laws for a Discrete Lattice Equation |
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| WEN Xiao-yong.N-fold Darboux Transformation and Infinitely Many Conservation Laws for a Discrete Lattice Equation[J].Mathematics in Practice and Theory,2012,42(13):246-252. |
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| Authors: | WEN Xiao-yong |
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| Institution: | WEN Xiao-yong (School of Aeronautic Science and Engineering,Beijing University of Aeronautics and Astronautics,Beijing 100191,China) (Department of Mathematics,College of Sciences,Beijing Information Science and Technology University,Beijing 100192,China) |
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| Abstract: | Based on Lax representation of a discrete lattice equation,the iV-fold Darboux transformation and infinitely many conservation laws are constructed.The N-iterated explicit solutions in terms of Vandermonde-type determinant are also derived via the resulting DT.A special one-soliton structure is shown graphically. |
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| Keywords: | A discrete lattice equation Darboux transformation Lax pair explicit solution conservation laws |
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