摘要
利用Modified Boussinesq方程的Lax对,为该方程建立了一种简单的没有约束条件的Darboux变换,并给出了证明.基于3×3矩阵Lax对,构造了Modified Boussinesq方程的无穷多守恒律.
With the help of a gauge transformation between the corresponding 3×3 matrix Lax pair,a simple Darboux transformation of the Modified Boussinesq equation is constructed without any constraint conditions,and a detailed proof is also given.Based on the 3×3 matrix Lax pair,the infinitely many conservation laws are obtained.
作者
乌日乐
扎其劳
WU Ri-le;ZHA Qi-lao(Department of Mathematics and Computer Science,Hetao College,Linhe 015008,China;College of Mathematics Science,Inner Mongolia Normal University,Huhhot 010022,China)
出处
《数学的实践与认识》
2021年第9期166-170,共5页
Mathematics in Practice and Theory
基金
国家自然科学基金(11861050,11261037)
内蒙古自然科学基金(2020LH01010)
河套学院科学研究项目(HYZY201935)。
