| Modified Nizhnik-Novikov-Veselov方程的对称和精确解 |
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| 引用本文： | 吴薇,陈美.Modified Nizhnik-Novikov-Veselov方程的对称和精确解[J].聊城大学学报(自然科学版),2011(4):6-11. |
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| 作者姓名： | 吴薇 陈美 |
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| 作者单位： | 聊城大学数学科学学院 |
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| 基金项目： | 国家自然科学基金和中国工程物理研究院联合基金资助项目(NASF:11076015) |
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| 摘 要： | 利用李群对称方法得到了（2＋1）维Modified Nizhnik-Novikov-Veselov（MNNV）方程的对称和相似约化,并借助辅助函数法如G＇/G法,Riccati方程法求解约化方程从而得到MN-NV方程的群不变解和一些新的精确解,这些精确解包括相似解,孤立波解和艾里函数解.
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| 关 键 词： | (2+1)维Modified Nizhnik-Novikov-Veselov方程 对称 相似约化 精确解 非行波解 |
Symmetries and New Exact Solutions of Modified Nizhnik-Novikov-Veselov Equations |
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| WU Wei CHEN Mei.Symmetries and New Exact Solutions of Modified Nizhnik-Novikov-Veselov Equations[J].Journal of Liaocheng University:Natural Science Edition,2011(4):6-11. |
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| Authors: | WU Wei CHEN Mei |
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| Institution: | WU Wei CHEN Mei(School of Mathematics Science,Liaocheng University,Liaocheng 252059,China) |
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| Abstract: | By using Lie group method,we obtain some symmetries and similarity reductions of(2+1)-dimensional Modified Nizhnik-Novikov-Veselov(MNNV) equations.Through the aid of the auxiliary function method such as G′/G method and Riccati equation method to solve the reduced equations and some new exact solutions such as similarity solutions,solitary wave solution and Airy function solutions of MNNV equations are presented. |
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| Keywords: | (2+1)-dimensional Modified Nizhnik-Novikov-Veselov equations symmetry similarity reductions exact solutions non-traveling wave solutions |
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