摘要
该文基于双Bell多项式与Hirota双线性算子之间的关系,研究了一类(1+1)维变系数复方程的可积性.首先通过适当的变换,构造出方程的双线性表达式、双线性Backlund变换,又通过Hopf-Cole变换得到方程的Lax对,从而证明该方程具有Lax可积性.
In this paper,we study the integrability of a(1+1)-dimensional variable coeficient complex equation based on the relationship between multi-dimensional binary bell polynomial and Hirota bilinear operator.Firstly,the bilinear form and bilinear Backlund transformation of the equation are constructed by appropriate transformation.Then the lax pair is obtained by Hopf-Cole transformation,which proves that the equation is Lax integrable.
作者
张金玉
王丹
耿勇
杨苗苗
王晓丽
Zhang Jinyu;Wang Dan;Yong Yang;Geng Miaomiao;Wang Xiaoli(School of Mathematics and Statistics,Qilu University of Technology(Shandong Academy of Sciences),Jinan250353)
出处
《数学物理学报（A辑）》
CSCD
北大核心
2023年第4期994-1002,共9页
Acta Mathematica Scientia
基金
国家自然科学基金(12275017)
山东省自然科学基金(ZR2019PA020,ZR2020MA049)
齐鲁工业大学(山东省科学院)(2022PX092)。
