1) extended homogeneous balance method
延拓齐次平衡法
1.
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 。
2.
In this paper,stochastic like-soliton solutions for the generalized stochastic KdV and mKdV equations are obtained via the Hermite transformation,truncated expansion method and extended homogeneous balance method.
通过Hermite变换把Wick-类型的广义随机KdV方程和广义随机mKdV方程变成普通的KdV方程,利用截断展开法和延拓齐次平衡法求出方程的解,然后通过Hermite的逆变换求出相应方程的随机钟状类孤子解。
2) homogeneous balance method
齐次平衡法
1.
The extended homogeneous balance method and exact solutions of the BBM equation;
扩展齐次平衡法与BBM方程的精确解
2.
Solution to the complex Ginzburg-Landau equation by using the homogeneous balance method;
利用齐次平衡法求解Complex Ginzburg-Landau方程
3.
There are extensive applications of homogeneous balance method and its improved method in nonlinear evolution equations,such as pushing out nonlinear transformation,finding exact solutions,solving boundary value problem,and so on.
齐次平衡法及改进方法在非线性演化方程中有广泛的应用,如推导方程的非线性变换、求精确解以及解决边值问题等。
3) homogenous balance method
齐次平衡法
1.
Using homogenous balance method an auto Bcklund transformation of (2+1) dimensional dispersive long wave equation and a derived linear partial differential equation are obtained.
应用齐次平衡法获得了 2 +1维扩散长水波方程的B cklund变换和一个线性偏微分方程 。
2.
Using homogenous balance method, the autoBa··cklund transformation of Boussinesq equation and its derived equation are obtained.
应用推广的齐次平衡法获得了自Ba。
3.
Based on the extended homogenous balance method, we get a Backlund transformation to the regularized long wave (RLW) equation.
利用推广的齐次平衡法,给出了正则化长波方程的一种Backlund变换。
4) the homogeneous balance method
齐次平衡法
1.
Some new exact solutions for a class of the system of LS nonlinear equation are obtained by using the homogeneous balance method, hyperbola function method and trial function method.
利用齐次平衡法、双曲函数法、试探函数法求出了一类长短波方程多个新的精确解。
2.
Some explicit and exact traveling wave solutions for nonlinear strain wave equqtions in elastic waveguidesu_(tt)-u_(xx)=14(cu~3+6u~2+au_(tt)-bu_(xx)+du_t)_(xx)are obtained by using the homogeneous balance method.
文章应用齐次平衡法求出了在弹性波导槽中非线性应变波方程utt-uxx=14(cu3+6u2+autt-buxx+dut)xx的多个显式精确行波解。
3.
This paper revises the homogeneous balance method and gets two exact solutions of Burgers KdV equation.
对齐次平衡法进行适当修改，求得了ＢｕｒｇｅｒｓＫｄＶ方程的２个精确
5) repeated homogeneous balance method
累次齐次平衡法
1.
The homogeneous balance method is applied twice and then improved to construct the exact traveling wave solutions of nonlinear partial differential equations(called the repeated homogeneous balance method).
在求非线性偏微分方程精确解的过程中两次使用了齐次平衡法(称为累次齐次平衡法),解决了齐次平衡法求解少的不足,从而改进了齐次平衡法。
6) homogeneous balance method
齐次平衡方法
1.
The part exact solutions of Kolmogorov PetrovskⅡ Piskunov equation are obtained by using the homogeneous balance method.
用齐次平衡方法求出ＫｏｌｍｏｇｏｒｏｖＰｅｔｒｏｖｓｋⅡＰｉｓｋｕｎｏｖ（ＫＰＰ）方程的精确
2.
The validity of homogeneous balance method for solving differential equation was shown by solving a new Hamilton amplitude equation.
本文用齐次平衡方法求出了哈密顿振幅方程的精确解。
3.
The exact solutions of a set of coupled nonlinear partial differential equations in a true physical problem are given by using the homogeneous balance method.
用齐次平衡方法求出了由实际物理问题引出的一个非线性耦合偏微分方程组的含有任意函数的精确解；利用这个结果还求出了该方程组的初值—边值问题的精确
补充资料：齐缂法
齐缂法 缂丝技法之一。依本色经上描绘的花纹和色彩，用彩色粗纬进行平纹穿经，分区分段平行整齐地进行缂织，故称齐缂或纬缂。在色纬与色纬之间有明显的纵向“水路”。
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条