| 非线性KdV-mKdV方程的新的复合函数解 |
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| 引用本文： | 吕大昭,崔艳英.非线性KdV-mKdV方程的新的复合函数解[J].数学的实践与认识,2021(3):223-229. |
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| 作者姓名： | 吕大昭 崔艳英 |
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| 作者单位： | 北京建筑大学理学院;北京工业大学耿丹学院工学院 |
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| 基金项目： | 北京市教委科技计划项目(KM201410016013)。 |
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| 摘 要： | 利用孤立子方程KdV-mKdV的朗斯基解的形式和结构,我们提出了朗斯基形式展开法,运用这一方法获得了KdV-mKdV方程的丰富的新的复合函数解,并且朗斯基行列式中的元素不满足任何线性偏微分方程组.所得到的复合函数解是使用其它的方法得不到的.
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| 关 键 词： | KdV-mKdV方程 朗斯基行列式 复合函数解 雅各比椭圆函数 |
New Interaction Solutions of the Nonlinear KdV-mKdV Equation |
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| Lü Da-zhao,CUI Yan-ying.New Interaction Solutions of the Nonlinear KdV-mKdV Equation[J].Mathematics in Practice and Theory,2021(3):223-229. |
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| Authors: | Lü Da-zhao CUI Yan-ying |
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| Institution: | (School of Science,Beijing University of Civil Engineering and Architecture,Beijing 100044,China;School of Engineering,Gengdan Institute of Beijing University of Technology,Beijing 101301,China) |
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| Abstract: | Abundant interaction solutions of the nonlinear Korteweg-de Vries and modified Korteweg-de Vries(KdV-mKdV) equation are obtained by means of a constructed Wronskian form expansion method.The method is based on the forms and structures of Wronskian solutions of the KdV-mKdV equation,and the functions used in the Wronskian determinants don’t satisfy linear partial differential equations.Such the interaction solutions is difficultly obtained via other methods. |
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| Keywords: | KdV-mKdV equation Wronskian determinants interaction solutions Jacobi elliptic function |
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