郑州大学学报（理学版）2019，Vol.51Issue(4)：116-122,7.DOI:10.13705/j.issn.1671-6841.2018316
一族新的微分方程的守恒律和Darboux变换
A Novel Hierarchy of Differential Equations, Conservation Laws and Darboux Transformation
摘要
Abstract
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 prob-lems, 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.关键词
3×3矩阵谱问题/非线性演化方程/守恒律/Darboux变换Key words
3×3 matrix spectral problem/nonlinear evolution equations/conservation laws/Darboux transformation分类
数理科学引用本文复制引用
何国亮,郑真真..一族新的微分方程的守恒律和Darboux变换[J].郑州大学学报（理学版）,2019,51(4):116-122,7.基金项目
国家自然科学基金项目(11501526,11871232) （11501526,11871232）
河南省高等学校青年骨干教师培养计划项目(2017GGJS097) （2017GGJS097）
河南省高等学校重点科研项目(17A110035). （17A110035）
