1) variable coefficients KdV-Burgers equation
变系数KdV-Burgers方程
1.
With the Painlevé test method and computer symbolic computation,the paper studies the generalized variable coefficients KdV-Burgers equation to obtain the integral conditions of that equation and the binding conditions between the variable coefficients.
利用Painlevé分析方法,借助计算机符号运算,研究了广义变系数KdV-Burgers方程,得出该方程的可积条件,从而获得变系数间的约束条件。
2) 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。
3) KdV-Burgers equation
KdV-Burgers方程
1.
The new solitary wave solutions to KdV-Burgers equation;
KdV-Burgers方程的新的孤波解
2.
Exact solutions to the KdV-Burgers equation and KdV-Burgers-Kuramoto equation;
KdV-Burgers方程和KdV-Burgers-Kuramoto方程的精确解
3.
The new solitrary wave solutions of the KdV-Burgers equation
KdV-Burgers方程的新孤波解
4) Burgers Kdv equation
Burgers-Kdv方程
1.
By way of appling the extended form of homogeneous balancing method to nonlinear evolution equation of the constant coefficient, and to nonlinear development of variable coefficient, this paper obtains, as examples, Burgers Kdv equation with constant coefficient as well as solitary solution and solution-like solutions to the Kdv equation with variable coefficient.
将齐次平衡法的展开式应用于常系数的非线性演化方程和变系数的非线性发展中 ,作为例子求得了常系数的Burgers-Kdv方程和变系数的Kdv方程的孤子解和类孤子
5) the variable coefficient combined KdV_Burgers equation
变系数KVd-Burgers方程
6) variable coefficients Burgers equation
变系数Burgers方程
1.
Classification and similarity solutions of variable coefficients Burgers equation;
变系数Burgers方程的分类及相似解(英文)
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。