文献类型：期刊文献

中文题名：Backlund transformations, consistent Riccati expansion solvability, and soliton-cnoidal interaction wave solutions of Kadomtsev-Petviashvili equation

英文题名：Backlund transformations, consistent Riccati expansion solvability, and soliton-cnoidal interaction wave solutions of Kadomtsev-Petviashvili equation

作者：Liu, Ping[1];Cheng, Jie[2];Ren, Bo[3];Yang, Jian-Rong[4]

机构：[1]Univ Elect Sci & Technol, China Zhongshan Inst, Sch Elect & Informat Engn, Zhongshan 528402, Peoples R China;[2]Univ Elect Sci & Technol China, Sch Phys, Chengdu 610054, Peoples R China;[3]Shaoxing Univ, Inst Nonlinear Sci, Shaoxing 312000, Peoples R China;[4]Shangrao Normal Univ, Sch Phys & Elect Informat, Shangrao 334001, Peoples R China

年份：2020

卷号：29

期号：2

中文期刊名：中国物理B：英文版

外文期刊名：CHINESE PHYSICS B

收录：CSTPCD、、Scopus、CSCD2019_2020、CSCD

基金：Project supported by the National Natural Science Foundation of China (Grant Nos. 11775047,11775146,and 11865013) and the Science and Technology Project Foundation of Zhongshan City, China (Grant No. 2017B1016).

语种：英文

中文关键词：Kadomtsev-Petviashvili(KP)equation;consistent Riccati expansion;symmetry;Backlund transformation;interaction solution

外文关键词：Kadomtsev-Petviashvili (KP) equation; consistent Riccati expansion; symmetry; Backlund transformation; interaction solution

中文摘要：The famous Kadomtsev-Petviashvili(KP)equation is a classical equation in soliton theory.A B?cklund transformation between the KP equation and the Schwarzian KP equation is demonstrated by means of the truncated Painlevéexpansion in this paper.One-parameter group transformations and one-parameter subgroup-invariant solutions for the extended KP equation are obtained.The consistent Riccati expansion(CRE)solvability of the KP equation is proved.Some interaction structures between soliton-cnoidal waves are obtained by CRE and several evolution graphs and density graphs are plotted.

外文摘要：The famous Kadomtsev-Petviashvili (KP) equation is a classical equation in soliton theory. A Backlund transformation between the KP equation and the Schwarzian KP equation is demonstrated by means of the truncated Painleve expansion in this paper. One-parameter group transformations and one-parameter subgroup-invariant solutions for the extended KP equation are obtained. The consistent Riccati expansion (CRE) solvability of the KP equation is proved. Some interaction structures between soliton-cnoidal waves are obtained by CRE and several evolution graphs and density graphs are plotted.