Two-Component Wadati-Konno-Ichikawa Equation and Its Symmetry Reductions |
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作者姓名: | 屈长征 姚若侠 李志斌 |
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作者单位: | [1]CentreforNonlinearStudies,NorthwestUniversity,Xi'an710069 [2]DepartmentofComputerScience,EastChinaNormalUniversity,Shanghai200062 |
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摘 要: | It is shown that two-component Wadati-Konno-Ichikawa (WKI) equation, i.e. a generalization of the well-known WKI equation, is obtained from the motion of space curves in Euclidean geometry, and it is exactly a system for the graph of the curves when the curve motion is governed by the two-component modified Korteweg-de Vries flow. Group-invariant solutions of the two-component WKI equation which corresponds to an optimal system of its Lie point symmetry groups are obtained, and its similarity reductions to systems of ordinarv differential equations are also given.
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关 键 词: | mKdV 偏微分方程 欧几里德几何空间 平面曲线 |
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