Higher-dimensional integrable deformations of the modified KdV equation

作     者：Xiazhi Hao S Y Lou Xiazhi Hao;S Y Lou

作者机构：College of ScienceZhejiang University of TechnologyHangzhouChina School of Physical Science and TechnologyNingbo UniversityNingbo315211China 

出 版 物：《Communications in Theoretical Physics》 (理论物理通讯（英文版）)

年 卷 期：2023年第75卷第7期

页      面：15-21页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：sponsored by the National Natural Science Foundations of China(Nos.12235007,11975131,11435005,12275144,11975204) KC Wong Magna Fund in Ningbo University Natural Science Foundation of Zhejiang Province No.LQ20A010009 

主　　题：higher-dimensional integrable equation conservation form deformation mapping Lax integrability symmetry integrability 

摘      要：The derivation of nonlinear integrable evolution partial differential equations in higher dimensions has always been the holy grail in the field of *** well-known modified Kd V equation is a prototypical example of an integrable evolution equation in one spatial *** there exist integrable analogs of the modified Kd V equation in higher spatial dimensions?In what follows,we present a positive answer to this *** particular,rewriting the(1+1)-dimensional integrable modified Kd V equation in conservation forms and adding deformation mappings during the process allows one to construct higher-dimensional integrable ***,we illustrate this idea with examples from the modified Kd V hierarchy and also present the Lax pairs of these higher-dimensional integrable evolution equations.