1) variable coefficient generalized KdV equation
变系数广义KdV方程
1.
New solitary-wave-like solutions and exact solutions to variable coefficient generalized KdV equation;
变系数广义KdV方程新的类孤波解和精确解
3) Generalized KdV equation
广义KdV方程
1.
Overview of F-expansion Method and Solitary Wave Solutions of two Generalized KdV Equations;
F展开法综述和两个广义KdV方程的孤立波解
2.
Solitary Wave Solutions to a fifth order generalized kdv equation;
5阶广义kdv方程的孤波解
3.
A new generalized KdV equation K(m,n,1) is studied,namely ut+β1(um)x+β2(un)3x+β3u5x=0(m,n>1).
研究了一类新型的广义KdV方程K(m,n,1):ut+β1(um)x+β2(un)3x+β3u5x=0(m,n>1),用拟设法求出了它的Compacton解(即在有限区间外为0的孤波解),得到它的图像 并且考虑了Hamiton结构和守恒量,得到了三个守恒量 最后推广到一般的形式ut+β1(uk)x+ nβi(uk)(2i-1)x+βn+1u(2n+1)x=0 i=
4) generalized KdV equations
广义KdV方程
1.
In this paper the variant coefficient generalized KdV equations are reduced to odinary differential equations by the use of AC=BD.
利用AC =BD的思想 ,将变系数广义KdV方程约化成常微分方程 ,求出了KdV方程的Lax对。
2.
In this paper, the following generalized KdV equations with periodic initial value problem is considered:semi-discrete and fully discrete Fourier spectral and pseudo-spectral schemes are proposed, the convergence and stability for the schemes are proved.
引 言在孤立子的研究中起着重要作用的典型方程-KdV方程已有不少作者[1-5]在数学分析上做了许多深入的研究,文[6]讨论了如下一类高阶广义KdV方程
5) variable coefficient KdV equation
变系数KdV方程
1.
Exact solutions of the general variable coefficient KdV equation with external force term;
含外力项的广义变系数KdV方程的精确解
2.
By using a transformation,the variable coefficient KdV equation is reduced to a nonlinear ordinary differential equation(NLODE).
利用一种函数变换将变系数KdV方程约化为非线性常微分方程(NLODE),并由此NLODE出发获得变系数KdV方程的若干精确类孤子解。
3.
In this paper,by using of new special function transform in truncated expansion method,the three kinds of exact solutions of the general variable coefficient KdV equation are obtained.
文章在截断展开法中采用特殊的函数变换形式,从而求出了广义变系数KdV方程三类新的精确解。
6) KdV equation with variable coefficients
变系数KdV方程
1.
New exact solutions of the (2+1)-dimensional KdV equation with variable coefficients;
(2+1)维变系数KdV方程的新精确解
2.
Solving KdV equation with variable coefficients by using F-expansion method;
用F展开法解变系数KdV方程
3.
Exact solutions,solitary wave solution and travelling wave solutions are given for the KdV equation with variable coefficients.
通过齐次平衡法及可化为Bernoulli方程的四阶常微分方程,求出了变系数KdV方程的精确解及孤立波解。
补充资料：Kdv方程
Image:11776596881617173.jpg
kdv方程
kdv方程是1895年由荷兰数学家科特韦格和德弗里斯共同发现的一种偏微分方程（也有人称之为科特韦格-德弗里斯方程，但一般都习惯直接叫kdv方程）。
kdv方程的解为簇集的孤立子（又称孤子，孤波）。
kdv方程和物理问题有几个联系。 它是弦在fermi-pasta-ulam问题在连续极限下的统治方程。kdv方程也描述弱非线性回复力的浅水波。
kdv方程也可以用逆散射技术求解，譬如那些适用于薛定谔方程的。
说明：补充资料仅用于学习参考，请勿用于其它任何用途。