摘要
该文借助于零曲率方程得到了一个与3×3矩阵谱问题相关的形变Boussinesq型非线性演化可积方程族.通过考虑两个线性谱问题,给出了方程族中前两个方程的无穷多守恒律.借助于Darboux变换得到了第一个形变Boussinesq型方程的一些显式解.
In this paper,we propose a deformed Boussinesq-type integrable hierarchy of nonlinear evolution equations associated with a 3×3 matrix spectral problem by using the zero-curvature equation.Based on two linear spectral problems,we obtain the infinite many conservation laws of the first two members in the hierarchy.Some explicit solutions to the first deformed Boussinesq-type equation are given by utilizing the Darboux transformation.
作者
何国亮
郑真真
徐涛
He Guoliang;Zheng Zhenzhen;Xu Tao(School of Mathematics and Information Science,Zhengzhou University of Light Industry,Zhengzhou 450002)
出处
《数学物理学报(A辑)》
CSCD
北大核心
2020年第5期1305-1318,共14页
Acta Mathematica Scientia
基金
国家自然科学基金(11871232)
河南省高等学校青年骨干教师培养计划基金