Invariant Sets and Exact Solutions to Higher-Dimensional Wave Equations 被引量：11

Invariant Sets and Exact Solutions to Higher-Dimensional Wave Equations

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摘要 The invariant sets and exact solutions of the （1 ＋ 2）-dimensional wave equations are discussed. It is shown that there exist a class of solutions to the equations which belong to the invariant set E0 = {u ： ux = vxF（u）,uy = vyF（u） }. This approach is also developed to solve （1 ＋ N）-dimensional wave equations.

作者 QU Gai-Zhu ZHANG Shun-Li ZHU Chun-Rong

机构地区 Center for Nonlinear Studies Center of Nonlinear Science Department of Mathematics

出处《Communications in Theoretical Physics》 SCIE CAS CSCD 2008年第5期1119-1124,共6页 理论物理通讯（英文版）

基金 The project supported by National Natural Science Foundation of China under Grant Nos.10447007 and 10671156 Natural Science Foundation of Shaanxi Province of China under Grant No.2005A13

关键词 wave equation invariant set exact solution 波动方程不变集精确解解题方法

分类号 O411.1 [理学—理论物理]

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参考文献53

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同被引文献26

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引证文献11

1屈改珠,朱春蓉.(3+1)维带有源项的反应扩散方程的不变集和精确解[J].纯粹数学与应用数学,2009,25(3):579-585. 被引量：7
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3屈改珠.利用不变集方法求(2+1)维拟线性扩散方程的精确解[J].西北大学学报（自然科学版）,2010,40(4):576-578. 被引量：6
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二级引证文献14

1屈改珠.(1+1)维带有对流项和源项的非线性扩散方程的新精确解[J].西北师范大学学报（自然科学版）,2010,46(4):10-11. 被引量：5
2屈改珠.利用不变集方法求(2+1)维拟线性扩散方程的精确解[J].西北大学学报（自然科学版）,2010,40(4):576-578. 被引量：6
3屈改珠.利用不变集方法求解KdV型方程[J].渭南师范学院学报,2011,26(6):15-17.
4屈改珠.KdV型方程的新精确解[J].价值工程,2011,30(34):176-176.
5谢离丽,高晓琴,娄丹.(2+1)维拟线性扩散方程的不变集和精确解[J].纯粹数学与应用数学,2012,28(1):123-128.
6屈改珠.(1+1)维带有热源项的非线性波动方程的精确解[J].西北大学学报（自然科学版）,2012,42(6):882-884. 被引量：3
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2008年第5期

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Invariant Sets and Exact Solutions to Higher-Dimensional Wave Equations 被引量：11

参考文献53

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