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1)  homogeneous balance principle
齐次平衡原则
1.
With the aid of Sub-ODE as well as its exact solutions and according to the homogeneous balance principle,the envelope solitary wave solutions and envelop.
借助该辅助微分方程及其精确解,并根据齐次平衡原则,得到CLL方程的包络孤立波解和包络正弦波解。
2.
In the paper,according to homogeneous balance principle and F-expantion method,some double-periodic exact solutions of a fifth-order KdV-like equation with variable coefficients are obtained in form of Jacobi elliptic function.
利用齐次平衡原则和F-展开法,求出了一个五阶变系数KdV-like方程的一些用Jacobi椭圆函数表示的双周期解。
3.
By using the homogeneous balance principle (HBP) and Hermite transform, various kinds of exact solutions to a stochastic nonlinear evolution equations can be algebraically obtained in terms of the exact solutions of heat conduction equation with variable coefficients.
利用齐次平衡原则及厄尔米特变换,借助于变系数热传导方程的各种精确解,用代数的方法获得了一随机非线性发展方程组的各种精确解。
2)  Homogeneous balance principle(HBP)
齐次平衡原则(HBP)
3)  homogeneous balance method
齐次平衡原理
1.
Furthermore,we have proved that homogeneous balance method is true for Davey-Stewartson I Equation.
应用广义双函数法研究了具有物理背景的Davey-StewartsonI方程,通过引入新的基函数、变换和齐次平衡原理,得到了该方程一批新的形式更丰富的显式解。
4)  principle of homogeneity
齐次原则
5)  Homogeneous balance
齐次平衡
6)  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。
补充资料:齐同原则
齐同原则是指在实验中相互比较的各组之间,除实验因素要作有计划的变动
外,其他因索则应尽量相对固定。若将不可比的资料进行对比,必将得不到正确的
结论。
说明:补充资料仅用于学习参考,请勿用于其它任何用途。
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