Integrable nonlocal PT-symmetric generalized so(3,R)-mKdV equations  

作　　者：Shou-Ting Chen Wen-Xiu Ma 

机构地区：[1]School of Mathematics and Statistics,Xuzhou University of Technology,Xuzhou 221008,Jiangsu,China [2]Department of Mathematics,Zhejiang Normal University,Jinhua 321004,Zhejiang,China [3]Department of Mathematics,King Abdulaziz University,Jeddah 21589,Saudi Arabia [4]Department of Mathematics and Statistics,University of South Florida,Tampa,FL 33620-5700,United States of America [5]School of Mathematical and Statistical Sciences,North-West University,Mafikeng Campus,Private Bag X2046,Mmabatho 2735,South Africa

出　　处：《Communications in Theoretical Physics》2023年第12期19-24,共6页理论物理通讯（英文版）

基　　金：supported in part by the‘Qing Lan Project’of Jiangsu Province(2020);the‘333 Project’of Jiangsu Province(No.BRA2020246);the National Natural Science Foundation of China(12271488,11975145,and 11972291);the Ministry of Science and Technology of China(G2021016032L).

摘　　要：Based on a soliton hierarchy associated with so(3,R),we construct two integrable nonlocal PT-symmetric generalized mKdV equations.The key step is to formulate two nonlocal reverse-spacetime similarity transformations for the involved spectral matrix,and therefore,integrable nonlocal complex and real reverse-spacetime generalized so(3,R)-mKdV equations of fifth-order are presented.The resulting reduced nonlocal integrable equations inherit infinitely many commuting symmetries and conservation laws.

关 键 词：integrable equation lax pair nonlocal reduction PT-SYMMETRY zero curvature equation 

分 类 号：O152.5[理学—数学]