| 寻找变系数KP方程的精确解 |
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| 引用本文： | 刘彬,阮航宇.寻找变系数KP方程的精确解[J].宁波大学学报(理工版),2012(2):88-93. |
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| 作者姓名： | 刘彬 阮航宇 |
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| 作者单位： | 宁波大学理学院 |
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| 基金项目： | 国家自然科学基金(10735030);宁波大学王宽诚幸福基金 |
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| 摘 要： | 将非线性演化方程的变系数看作与实际物理场具有相等地位的新的变量,用推广的经典李群约化法,建立了常系数KP方程以及变系数CKP方程的解与新的变系数KP方程解之间的关系.利用已知的常系数KP和变系数CKP方程的解得到了新的变系数KP方程的一般解和某些特殊形式的精确解.
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| 关 键 词： | 变系数KP方程 李群约化法 推广的对称群 |
Exact Solutions for Variable-coefficient Kadomtsev-Petviashvili Equation |
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| LIU Bin,RUAN Hang-yu.Exact Solutions for Variable-coefficient Kadomtsev-Petviashvili Equation[J].Journal of Ningbo University(Natural Science and Engineering Edition),2012(2):88-93. |
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| Authors: | LIU Bin RUAN Hang-yu |
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| Institution: | (Faculty of Science,Ningbo University,Ningbo 315211,China) |
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| Abstract: | Considering the variable coefficient of a non-linear equation as a new dependent variable,we have established relation among constant coefficient KP equations and some different kinds of variable coefficient KP equations using the general classical Lie approach.The solutions of these resulting equations can also be obtained via the solutions of the original models which are the standard constant coefficient KP and the variable coefficient cylindrical Kadomtsev-etviashvili equation. |
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| Keywords: | KP equation with variable coefficients generalized Lie group reduction method extended symmetries |
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