摘要
借助于零曲率方程给出一个与3×3矩阵谱问题相关的新的非线性演化方程族.基于谱问题及其辅谱问题,得到了这个方程族中前两个非线性演化方程的无穷多守恒律和第一个非线性演化方程由Darboux变换构造的一些显式解.
With the aid of the zero-curvature equation,a novel integrable hierarchy of nonlinear evolution equations associated with a 3×3 matrix spectral problem was proposed.Based on two linear spectral problems,the infinite many conservation laws of the first two members and explicit solutions constructed from the Darboux transformation of the first member in the hierarchy were obtained.
作者
何国亮
郑真真
HE Guoliang;ZHENG Zhenzhen(School of Mathematics and Information Science,Zhengzhou University of Light Industry,Zhengzhou 450002,China)
出处
《郑州大学学报（理学版）》
CAS
北大核心
2019年第4期116-122,共7页
Journal of Zhengzhou University:Natural Science Edition
基金
国家自然科学基金项目(11501526,11871232)
河南省高等学校青年骨干教师培养计划项目(2017GGJS097)
河南省高等学校重点科研项目(17A110035)
