New interaction solutions of the Kadomtsev–Petviashvili equation

作     者：刘希忠 俞军 任博 杨建荣 

作者机构：Institute of Nonlinear Science Shaoxing University Department of Physics and Electronics Shangrao Normal University 

出 版 物：《Chinese Physics B》 (中国物理B（英文版）)

年 卷 期：2014年第23卷第10期

页      面：1-6页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

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

主　　题：Kadomtsev-Petviashvili equation localization procedure residual symmetry Baicklund transfor-mation symmetry reduction solution 

摘      要：The residual symmetry relating to the truncated Painlev6 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.