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1)  truncated expansion method
截断展开法
1.
Using the truncated expansion method, solution of (2+1) dimensional variable coefficient Kadomtsev Petviashvili equation was discussed.
利用截断展开法研究了 (2 +1)维变系数广义Kadomtsev Petviashvili方程。
2.
Exact bell shaped solitary solutions for the generalized KdV and mKdV equations with variable coefficients are obtained by the use of truncated expansion method and extended homogeneous balance method.
利用截断展开法和延拓齐次平衡法同时求出了广义变系数KdV方程和广义变系数mKdV方程的精确钟状类孤子解 。
3.
An exact soliton solutions to the equation is derived by using the extended homogeneous balance method and the truncated expansion method.
在假设系数线性相关的情况下,利用齐次平衡法得到了变系数MKdV方程的Bcklund变换,并利用此Bcklund变换得到了求解该方程的一般方法;利用截断展开法和延拓齐次平衡法得到了该方程的一组精确孤子解。
2)  truncation expansion method
截断展开法
1.
By means of Hermite transformation,the Wick-type stochastic generalized Kdv-MKdv equation was reduced to stochastic coefficient equation,then some stochastic exact solutions were obtainable via the truncation expansion method and Hermite inverse transformation.
通过埃尔米特变换将W ick类型的随机广义Kdv-MKdv方程变成广义系数Kdv-MKdv方程,利用截断展开法求出广义系数Kdv-MKdv方程的精确解,并通过埃尔米特逆变换得到了随机广义Kdv-MKdv方程的精确解。
2.
By using the truncation expansion method,the appropriate condition of exact solution to a type of generalized (KdV-Burgers) equations with variable coefficients is obtained,and an analytical solution of this type of equations is given clearly.
给出了利用截断展开法求解一类具有变系数的广义KdV Burgers方程所需满足的条件,并得到了它的1个精 确解。
3.
By using the traveling wave transformation and truncation expansion method,by combining solutions of the Riccati equation with parameter,many new exact traveling wave solutions of CD equation are obtained.
考虑(2+1)维CD方程,利用行波变换和截断展开法,并结合含参数Riccati方程解的技巧,获得了(2+1)维CD方程的许多新的精确行波解。
3)  truncation expansion method
截断展开方法
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4)  truncated Painleve expansion
截断Painleve展开
5)  truncated Painlevéexpansion
Painlevé截断展开
1.
This dissertation mainly studies the methods in soliton theory for finding exact solutions of nonlinear evolution equations, such as the Backlund transformation method, truncated Painlevéexpansion method, the CK direct method and so on.
本文研究内容主要涉及孤立子理论中精确求解非线性发展方程的Backlund变换法,Painlevé截断展开法,CK直接约化法等几个方面。
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6)  improved truncated expansion method
改进的截断展开法
1.
We give a new improved truncated expansion method.
给出了一种改进的截断展开法,利用此方法借助于计算机符号计算求得了Burgers方程和浅水长波近似方程组的精确解,其中包括孤子解,并讨论其具体应用。
补充资料：上行展开法
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性质：在平面色谱中，溶剂沿纸或薄层板的下端不断地向上移动的展开过程。是最常用的展开法。

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