摘要
通过一个带有4个位势的3×3矩阵谱问题，借助于零曲率方程，得到一族非线性演化方程．通过适当的约化，构造出了耦合KdV方程，并且给出了它的无穷守恒律．
A hierarchy of new nonlinear evolution equations is proposed with the help of zero-curvature equation, which is associated with a 3×3 matrix spectral problem with four potentials. Through the reduction to the hierarchy above, we arrive at the coupled KdV equation, and also infinite sequences of conserved quantities are discussed at last.
作者
王辉
贾会才
龚东
WANG Hui;JIA Hui-cai;GONG Dong(College of Science, Henan University of Engineering, Henan Zhengzhou 451191, China)
出处
《数学的实践与认识》
北大核心
2018年第9期260-264,共5页
Mathematics in Practice and Theory
基金
河南省基础与前沿技术研究项目(162300410072)
河南工程学院博士基金项目(D2015001)
河南省高等学校重点科研项目(188110005)
国家自然科学基金(11701147)
关键词
谱问题
零曲率方程
耦合KDV方程
守恒律
spectral problem
zero-curvature equation
coupled KdV equation
conservationlaws
