一类半离散可积方程族的无穷守恒律  

Infinite number of conservation laws to a family of semi-discrete integrable equations

作　　者：张艳妮 邢维 李雯 ZHANG Yan-ni;XING Wei;LI Wen(Department of Basic Science,Jilin University of Architecture and Technology,Changchun 130114,China;Department of Basic Science,Dalian Naval Academy,Dalian 116013,China;School of Mathematics,Jilin University,Changchun 130012,China)

机构地区：[1]吉林建筑科技学院基础科学部,吉林长春130114 [2]海军大连舰艇学院基础部,辽宁大连116013 [3]吉林大学数学学院,吉林长春130012

出　　处：《东北师大学报（自然科学版）》2021年第4期18-22,共5页Journal of Northeast Normal University(Natural Science Edition)

基　　金：吉林省科技厅面上项目(20190201132JC);吉林省教育厅科学研究规划项目(JJKH20200934KJ).

摘　　要：基于一类广义离散谱问题,利用屠格式构造了一类具有Lax对的半离散方程,进而通过Ricatti方程构造法得到了方程的无穷守恒律.The main purpose of this paper is to construct a new family semi-discrete integrable equations with Lax pair by using the Tu scheme.Furthermore,the infinite number of conservation laws to the equations are established through the Ricatti method which illustrates the integrability of the equation.

关 键 词：半离散可积方程 屠格式 LAX对 无穷守恒律 

分 类 号：O175.29[理学—数学]