从新的视角考虑Hirota双线性变换,建立了Hirota-Satsuma方程与其双线性化方程之间的局部等价性.提出了双线性化Hirota-Satsuma方程的由二阶微分方程加上适当的初值条件所定义的新型B覿cklund变换,并通过该变换从Hirota-Satsuma方程的种子解构造出其双线性化方程新的精确解.%By considering the Hirota bilinear transformation...
Hirota-Satsuma方程的Pfaffian化
关于Hirota-Satsuma系统初值问题的局部和整体适定性_专业资料。本文利用KDV方程所对应的线性方程解所具有的光滑效应及压缩映像原理,得到了Hirota-Satsuma系统初值问题的局部和整体适定性结果. 文档贡献者 f1bjywgox7 贡献于2011-06-12 1 /2 相关文档推荐
(HPM) to obtain the exact solution of Hirota-SatsumaCoupled KdV equation. The results reveal that the proposed method is very effective and simple and can be applied to other nonlinear mathematical problems. Keywords: Homotopy Perturbation Method; Generalized Hirota-Satsuma Coupled KdV Equation 1. ...
Hirota—Satsuma耦合KdV方程行波解的分支 唐生强,周显潮 (桂林电子科技大学数学与计算科学学院,广西桂林541004) [摘要]运用平面动力系统理论.研究了Hirota—Satsuma耦合KdV方程,证明该方程存在光滑孤立波解、 扭结波和反扭结波解以及无穷多光滑周期波解。并在不同的参数条件下.给出了光滑孤立波解、扭结波 ...
广义Hirota-Satsuma耦合KdV方程的精确解 热度: 一族离散可积耦合系统及其Hamilton结构 热度: 关于广义函数_x_的讨论 热度: Ph.M.Dissertation,ZhengzhouUniversit从No.05311058 OntheresearehofSatsuma-HirotaeouPledKdV hierarehyandtheirgeneralizedHamiltonian
用变分迭代法求解Hirota-Satsuma型耦合KdV方程组
一类广义Hirota-Satsuma Coupled KdV系统的新精确行波解
A Darboux transformation for the generalized Hirota-Satsuma coupled Korteweg-de Vries (KdV) equation is derived with the aid of the gauge transformation between the corresponding 4x4 matrix spectral problems with three potentials, by which some explicit solutions of the generalized Hirota-Satsuma coupled...