排序方式: 共有13条查询结果,搜索用时 15 毫秒
1.
Sirendaoreji 《高校应用数学学报(英文版)》2004,19(2):178-186
Based on the computerized symbolic computation, some new exact travelling wave solutions to three nonlinear evolution equations are explicitly obtained by replacing the tanhξ in tanh-function method with the solutions of a new auxiliary ordinary differential equation. 相似文献
2.
等谱和非等谱TD族,Lax表示与零曲率表示 总被引:2,自引:0,他引:2
斯仁道尔 《高校应用数学学报(A辑)》1995,(4):375-382
首先,推广文「1」的结果,建立了等谱和非等谱TD族,并给出相应的Lax表示,再用文「2」的方法得到了相应的零曲率表示。 相似文献
3.
AKNS族与Geng族的规范等价的约束流 总被引:1,自引:0,他引:1
先由AKNS族出发用规范变换建立了Geng族的约束流及它的第一组守恒积分和Lax表示,再用其Lax表示建立了Geng族约束流的r-矩阵。并且还给出了Geng族约束流的第二组守恒积分及其对合性的证明。 相似文献
4.
New exact solitary wave solutions to generalized mKdV equation and generalized Zakharov--Kuzentsov equation 总被引:2,自引:0,他引:2 下载免费PDF全文
In this paper,
based on hyperbolic tanh-function method and homogeneous balance
method, and auxiliary equation method, some new exact solitary
solutions to the generalized mKdV equation and generalized
Zakharov--Kuzentsov equation are constructed by the method of
auxiliary equation with function transformation with aid of
symbolic computation system Mathematica. The method is of important
significance in seeking new exact solutions to the evolution
equation with arbitrary nonlinear term. 相似文献
5.
6.
斯仁道尔吉 《高校应用数学学报(英文版)》2001,16(1):19-24
Abstract. Some exact travelling wave solutions and rational travelling wave solutions of a sur-face wave equation in a convecting fluid are given in this paper. 相似文献
7.
二维色散长波方程组的精确解 总被引:2,自引:0,他引:2
利用齐次平衡法给出了二维色散长波方程组的定态解、孤立波解与非孤立波解等几种显式精确解。这个方法也可用来寻找其它非线性发展方程的不同类型的精确解。 相似文献
8.
A hyperbolic function approach to constructing exact solitary wave solutions of the Hybrid lattice and discrete mKdV lattice 总被引:5,自引:0,他引:5 下载免费PDF全文
Some new exact solitary wave solutions of the Hybrid lattice and discrete mKdV lattice are obtained by using a hyperbolic function approach. This approach can also be applied to other nonlinear
differential-difference equations. 相似文献
9.
一个演化方程族约束系统的r-矩阵 总被引:3,自引:0,他引:3
斯仁道尔 《高校应用数学学报(A辑)》1999,14(1):5-10
本文给出一个演化方程约束系统的Lax表示,r-矩阵,经典Pois-son结构与可积性的证明。 相似文献
10.
Sirendaoreji 《偏微分方程(英文版)》1997,10(2)
Under the constraint between the potentials and eigenfunctions, the Ma eigenvalue problem is nonlinearized as a new completely integrablc Hamiltonian system (R^{2N}, dp∧dq, H): H = \frac{1}{2}α〈∧q,p〉 - \frac{1}{2}α_3 〈q,q〉 + \frac{α}{4α_3η} 〈q,p〉 〈p,p〉 The involutive solution of the high-order Ma equation is also presented. The new completely integrable Hamiltonian systems are obtained for DLW and Levi eigenvalue problems by reducing the remarkable Ma eigenvalue problem. 相似文献