文献类型：期刊文献

中文题名：New solutions from nonlocal symmetry of the generalized fifth order KdV equation

英文题名：New solutions from nonlocal symmetry of the generalized fifth order KdV equation

作者：Liu Xi-Zhong[1];Yu Jun[1];Ren Bo[1]

机构：[1]Shaoxing Univ, Inst Nonlinear Sci, Shaoxing 312000, Peoples R China

年份：2015

卷号：0

期号：8

中文期刊名：中国物理B：英文版

外文期刊名：CHINESE PHYSICS B

收录：SCI-EXPANDED(收录号：WOS:000361906000002)、CSTPCD、、EI(收录号：20153301170712)、CSCD2015_2016、Scopus(收录号：2-s2.0-84939161701)、WOS、CSCD

基金：Project supported by the National Natural Science Foundation of China (Grant Nos. 11347183, 11405110, 11275129, and 11305106) and the Natural Science Foundation of Zhejiang Province of China (Grant Nos. Y7080455 and LQ13A050001).

语种：英文

中文关键词：generalized;fifth;order;Kd;V;equation;localization;procedure;nonlocal;symmetry;symmetry;reduction;solution

外文关键词：generalized fifth order KdV equation; localization procedure; nonlocal symmetry; symmetry reduction solution

中文摘要：The nonlocal symmetry of the generalized fifth order KdV equation(FOKdV) is first obtained by using the related Lax pair and then localizing it in a new enlarged system by introducing some new variables. On this basis, new Ba¨cklund transformation is obtained through Lie's first theorem. Furthermore, the general form of Lie point symmetry for the enlarged FOKdV system is found and new interaction solutions for the generalized FOKdV equation are explored by using a symmetry reduction method.

外文摘要：The nonlocal symmetry of the generalized fifth order KdV equation (FOKdV) is first obtained by using the related Lax pair and then localizing it in a new enlarged system by introducing some new variables. On this basis, new Backlund transformation is obtained through Lie's first theorem. Furthermore, the general form of Lie point symmetry for the enlarged FOKdV system is found and new interaction solutions for the generalized FOKdV equation are explored by using a symmetry reduction method.