摘要
考虑一特征值问题 ,发现其与KDV方程的联系 ,并通过对其非线性化 ,得到了一类非共焦对合系 ,从而证明了Hamiltonian系统的可积性 ,同时给出了KDV方程解新的对合表示 .
Consider a eigenvalue problem associated with KDV Equation, through nonlinearisation of it, a Nonconfocal involutive system is obtained and a integrable Hamiltonian system is proved, a new involutive representation of solutions of KDV Equation is suggested.
出处
《华北水利水电学院学报》
2000年第3期70-73,共4页
North China Institute of Water Conservancy and Hydroelectric Power
关键词
特征值问题
非线性化
非共焦对合系
对合解
eigenvalue problem
nonlinearisation
nonconfocal involutive system
involutive solution