摘要
This article presents the construction of a nonlocal Hirota equation with variable coefficients and its Darboux transformation.Using zero-seed solutions,1-soliton and 2-soliton solutions of the equation are constructed through the Darboux transformation,along with the expression for N-soliton solutions.Influence of coefficients that are taken as a function of time instead of a constant,i.e.,coefficient functionδ(t),on the solutions is investigated by choosing the coefficient functionδ(t),and the dynamics of the solutions are analyzed.This article utilizes the Lax pair to construct infinite conservation laws and extends it to nonlocal equations.The study of infinite conservation laws for nonlocal equations holds significant implications for the integrability of nonlocal equations.
作者
刘锦洲
闫鑫颖
金梦
辛祥鹏
Jinzhou Liu;Xinying Yan;Meng Jin;Xiangpeng Xin(School of Mathematical Sciences,Liaocheng University,Liaocheng 252059,China)
基金
supported by the National Natural Science Foundation of China (Grant No.11505090)
Liaocheng University Level Science and Technology Research Fund (Grant No.318012018)
Discipline with Strong Characteristics of Liaocheng University–Intelligent Science and Technology (Grant No.319462208)
Research Award Foundation for Outstanding Young Scientists of Shandong Province (Grant No.BS2015SF009)
the Doctoral Foundation of Liaocheng University (Grant No.318051413)。
