文献类型：期刊文献

中文题名：New interaction solutions of the Kadomtsev–Petviashvili equation

英文题名：New interaction solutions of the Kadomtsev-Petviashvili equation

作者：Liu Xi-Zhong[1];Yu Jun[1];Ren Bo[1];Yang Jian-Rong[2]

机构：[1]Shaoxing Univ, Inst Nonlinear Sci, Shaoxing 312000, Peoples R China;[2]Shangrao Normal Univ, Dept Phys & Elect, Shangrao 334001, Peoples R China

年份：2014

卷号：0

期号：10

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:000344057600001)、CSTPCD、、EI(收录号：20144100094726)、Scopus(收录号：2-s2.0-84907627977)、WOS、CSCD、CSCD2013_2014

基金：Project supported by the National Natural Science Foundation of China (Grant Nos. 11347183, 11275129, 11305106, 11405110, and 11365017) and the Natural Science Foundation of Zhejiang Province of China (Grant Nos. Y7080455 and LQ13A050001).

语种：英文

中文关键词：KP方程;交互;李群方法;使用标准;一般形式;时间系统;相互作用;对称性

外文关键词：Kadomtsev-Petviashvili equation; localization procedure; residual symmetry; Backlund transformation; symmetry reduction solution

中文摘要：The residual symmetry relating to the truncated Painlev′e expansion of the Kadomtsev–Petviashvili(KP) equation is nonlocal, which is localized in this paper by introducing multiple new dependent variables. By using the standard Lie group approach, new symmetry reduction solutions for the KP equation are obtained based on the general form of Lie point symmetry for the prolonged system. In this way, the interaction solutions between solitons and background waves are obtained, which are hard to find by other traditional methods.

外文摘要：The residual symmetry relating to the truncated Painleve expansion of the Kadomtsev-Petviashvili (KP) equation is nonlocal, which is localized in this paper by introducing multiple new dependent variables. By using the standard Lie group approach, new symmetry reduction solutions for the KP equation are obtained based on the general form of Lie point symmetry for the prolonged system. In this way, the interaction solutions between solitons and background waves are obtained, which are hard to find by other traditional methods.