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.
The famous Kadomtsev-Petviashvili(KP)equation 1 s a classical equation In soliton tneory.A Backlund transformation between the KP equation and the Schwarzian KP equation is demonstrated by means of the truncated Painlev6 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.
作者
刘萍
程杰
任博
杨建荣
Ping Liu;Jie Cheng;Bo Ren;Jian-Rong Yang(School of Electronic and Information Engineering,University of Electronic Science and Technology of China Zhongshan Institute,Zhongshan 528402,China;School of Physics,University of Electronic Science and Technology of China,Chengdu 610054,China;Institute of Nonlinear Science,Shaoxing University,Shaoxing 312000,China;School of Physics and Electronic Information,Shangrao Normal University,Shangrao 334001,China)
基金
Project supported by the National Natural Science Foundation of China(Grant Nos.11775047,11775146,and 11865013)
the Science and Technology Project Foundation of Zhongshan City,China(Grant No.2017B1016).
