1) variable-coefficient of the coupled KdV equations
变系数耦合KdV方程
2) coupled KdV equations with variable coefficients
变系数耦合KdV方程组
3) variable coefficient combined KdV equation
变系数组合KdV方程
1.
The auxiliary equation for constructing the exact solutions of the variable coefficient combined KdV equation with forcible term;
辅助方程构造带强迫项变系数组合KdV方程的精确解
2.
Explicit and exact solutions to the variable coefficient combined KdV equation with forced term;
带强迫项变系数组合KdV方程的显式精确解
4) variable coefficient combined kdv-Burgers equation
变系数组合kdv-Burgers方程
1.
Using Mathematica software and two generalized Riccati equations,exact solutions of the variable coefficient combined kdv-Burgers equation with forced term are obtained.
借助Mathematica软件和两个推广形式的Riccati方程组,求出了带强迫项变系数组合kdv-Burgers方程的一些精确解,包括各种类孤立波解、类周期解和变速孤立波解。
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。