| (2+2)维非线性微分-差分mToda方程的内禀对称,相似约化和精确解 |
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| 引用本文： | 宋军全,孟莉,狄艳媚,王丽真.(2+2)维非线性微分-差分mToda方程的内禀对称,相似约化和精确解[J].纯粹数学与应用数学,2010,26(6):924-930. |
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| 作者姓名： | 宋军全 孟莉 狄艳媚 王丽真 |
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| 作者单位： | 浙江工业大学应用数学系,浙江,杭州,310023;西北大学数学系,陕西,西安,710127 |
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| 基金项目： | 浙江省自然科学基金，陕西教育厅专项基金，国家博士后基金 |
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| 摘 要： | 把内禀对称群分析方法推广应用于（2＋2）维非线性微分-差分mToda方程.通过得到的对称,解相应的特征方程,对该方程进行了相似约化.最后通过反变换,构造了几类精确解。
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| 关 键 词： | mToda方程 对称 相似约化 精确解 |
Intrinsical symmetries, similarity reductions and exact solutions of the (2+2) - dimensional nonlinear differential-difference mToda equation |
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| SONG Jun-quan,MENG Li,DI Yan-mei,WANG Li-zheng.Intrinsical symmetries, similarity reductions and exact solutions of the (2+2) - dimensional nonlinear differential-difference mToda equation[J].Pure and Applied Mathematics,2010,26(6):924-930. |
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| Authors: | SONG Jun-quan MENG Li DI Yan-mei WANG Li-zheng |
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| Institution: | 1.Department of Applied Mathematics,Zhejiang University of Technology,Hangzhou 310023,China;2.Department of Mathematics,Northwest University,Xi’an 710127,China) |
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| Abstract: | In this paper,the intrinsical symmetry group analysis method is extended to solve the(2+2)-dimensional nonlinear differential-difference mToda equation.From the symmetries and solving the correspond-ing characteristic equation,this equation is similarity reduced.Finally,some exact solutions are constructed by inverse transformations. |
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| Keywords: | mToda equation symmetry similarity reduction exact solution |
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