文献类型：期刊文献

英文题名：B?cklund 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] School of Electronic and Information Engineering, University of Electronic Science and Technology of China Zhongshan Institute, Zhongshan, 528402, China; [2] School of Physics, University of Electronic Science and Technology of China, Chengdu, 610054, China; [3] Institute of Nonlinear Science, Shaoxing University, Shaoxing, 312000, China; [4] School of Physics and Electronic Information, Shangrao Normal University, Shangrao, 334001, China

年份：2020

卷号：29

期号：2

外文期刊名：Chinese Physics B

收录：EI(收录号：20200808187659)、Scopus(收录号：2-s2.0-85079367829)

语种：英文

外文关键词：Crystal symmetry - Expansion - Solitons

外文摘要：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 Painlevé 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. ? 2020 Chinese Physical Society and IOP Publishing Ltd.