KdV6方程的N-孤子解与拟周期解
N-soliton and quasi-periodic solutions of the KdV6 equations
本文首先由谱问题出发构造了一族新的非线性演化方程，著名的KdV6方程包含于其中。接着,借助于反散射方法，文章中得到了该方程族中前三个方程(包含KdV6方程)的N-孤子解。最后，本文给出了KdV6方程的拟周期解。
hierarchy of new nonlinear evolution equations whichcontains the well-known KdV6 equation is proposed. Based on theinverse scattering method, N-soliton solutions of the first threeequations (including the KdV6 equation) in this hierarchy arederived. Finally, quasi-periodic solutions of the KdV6 equations areconstructed.
薛波、耿献国
数学物理学
基础数学KdV6方程N-孤子解拟周期解
fundamental mathematicsKdV6equationN-soliton solutionquasi-periodic solution
薛波,耿献国.KdV6方程的N-孤子解与拟周期解[EB/OL].(2011-06-07)[2025-08-02].http://www.paper.edu.cn/releasepaper/content/201106-125.点此复制
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