摘要
本文应用偏微分方程理论和非线性化方法寻求代数约束条件,证明了在代数约束下,矩阵 Lax 对被非线性化为两个有限维完全可积系统,且从相容的Hamilton 系统生成 Harry-Dym
In this paper we find the algebraic constraint condition using the theory of partial differential equation and“nonlinearisation”method.We prove that under this algebraic constraint two completely integerable systems are obtained through the nonlinearisation of the Lax matrix pair and the involutive solution of the Harry—Dym equation is yielded from two Hamiltonian systems.
出处
《郑州大学学报（自然科学版）》
CAS
1991年第1期5-8,共4页
Journal of Zhengzhou University (Natural Science)
关键词
代数约束
H-D方程
非线性化
对合解
nonlinearisation
algebraic constraint
involutive solution
