连续和离散Hirota方程的无穷守恒律  

Conservation Laws for the Continuous and Discrete Hirota Equation

作　　者：郝惠琴 张建文 

机构地区：[1]太原理工大学数学学院,太原030024

出　　处：《太原理工大学学报》2017年第6期1025-1028,共4页Journal of Taiyuan University of Technology

基　　金：国家自然科学基金资助项目(61405137)

摘　　要：守恒律是孤子方程可积的一个重要指标,在偏微分方程系统的线性化、可积性以及数值计算等方面的研究中扮演着重要的角色。基于Lax对,分别构造了连续型和离散型Hirota方程的无穷守恒律。该算法步骤及关于守恒律的结果对推导其它孤子方程无穷守恒律有一定的借鉴作用。The conservation law is one of important indexes for the integrability of soliton equations,and it plays a vital role in the investigations for the linearization,integrability and numerical calculations of nonlinear equations.Based on the Lax pair,infinite conservation laws for the continuous and discrete Hirota equation have been constructed separately.The algorithm and results in this paper may have some implications for other soliton equations.

关 键 词：连续Hirota方程 离散Hirota方程 无穷守恒律 LAX对 

分 类 号：O29[理学—应用数学]