Higher-dimensional Chen-Lee-Liu equation and asymmetric peakon soliton  

作　　者：韩巧红 贾曼 Qiao-Hong Han;Man Jia(School of Physical Science and Technology,Ningbo University,Ningbo 315211,China)

机构地区：[1]School of Physical Science and Technology,Ningbo University,Ningbo 315211,China

出　　处：《Chinese Physics B》2024年第4期224-229,共6页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (Grant Nos.12275144,12235007,and 11975131);K.C.Wong Magna Fund in Ningbo University。

摘　　要：Integrable systems play a crucial role in physics and mathematics.In particular,the traditional(1+1)-dimensional and(2+1)-dimensional integrable systems have received significant attention due to the rarity of integrable systems in higher dimensions.Recent studies have shown that abundant higher-dimensional integrable systems can be constructed from(1+1)-dimensional integrable systems by using a deformation algorithm.Here we establish a new(2+1)-dimensional Chen-Lee-Liu(C-L-L)equation using the deformation algorithm from the(1+1)-dimensional C-L-L equation.The new system is integrable with its Lax pair obtained by applying the deformation algorithm to that of the(1+1)-dimension.It is challenging to obtain the exact solutions for the new integrable system because the new system combines both the original C-L-L equation and its reciprocal transformation.The traveling wave solutions are derived in implicit function expression,and some asymmetry peakon solutions are found.

关 键 词：higher dimensional Chen-Lee-Liu equation Lax integrable system deformation algorithm implicit traveling wave solutions 

分 类 号：O411[理学—理论物理]