| 2＋1维非线性Schrodinger方程的偏不变解 |
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| 引用本文： | 何文丽,刘若辰.2＋1维非线性Schrodinger方程的偏不变解[J].西北大学学报,1999,29(6):474-476,484. |
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| 作者姓名： | 何文丽 刘若辰 |
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| 作者单位： | 西北大学数学系!陕西西安710069 |
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| 基金项目： | Natural Science Foundation grant of Shaanxi!(KC97204) |
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| 摘 要： | 推广了描述深水波波幅的２＋１维非线性Ｓｃｈｒｏｄｉｎｇｅｒ方程的结果。利用基于子群分类方法上的一般系统化途径，得到一类２＋１维非线性Ｓｃｈｒｏｄｉｎｇｅｒ方程的偏不变解。
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| 关 键 词： | 对称群 偏不变解 非线性 薛定谔方程 |
Partially invariant solutions of the 2 1 dimensional nonlinear Schrodinger equations |
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| HE Wen-li, LIU Ruo-chen, ZHANG Shun-li, ZHAI Jiang-tao.Partially invariant solutions of the 2 1 dimensional nonlinear Schrodinger equations[J].Journal of Northwest University(Natural Science Edition),1999,29(6):474-476,484. |
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| Authors: | HE Wen-li LIU Ruo-chen ZHANG Shun-li ZHAI Jiang-tao |
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| Abstract: | The results of the 2 1 dimensional nonlinear' schrodinger equations for the wave amplitude deep water waves have been extended. Partially invariant solutions of a class of 2 1 dimensional nonlinear Schrodinger equations are explicitly obtained by using a general and systematic approach based on subgroup classification methods. More solutions can be obtained by this method than by the classical method and direct method. |
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| Keywords: | symmetry group partially invariant solution nonlinear Schredinger equations |
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