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Some new exact solitary wave solutions of an auxiliary ordinary differential equation were obtained by the trial method.

通过试探方法得到辅助常微分方程的一些新的孤波解。

We have get some interested results: such as, extended the auxiliary equation method, and which is also used to find the exact solitary wave solution of some nonlinear evolution equations.

如对辅助方程法进行了扩展,并利用两类新的辅助方程的解给出了一些非线性发展方程的新的精确孤立波解。

By utilizing the auxiliary ordinary differential equation and its solutions, the first kind and second kind of KdV equation with variable coefficients were investigated by means of the extended tanh-function method, and abundant new exact solitary wave solutions were obtained under certain conditions.

利用该方程及其解,采用改进的tanh函数展开法研究了第1类和第2类变系数KdV方程,获得了在一定条件下的若干新精确孤波解。

The many exact solutions, such as, trigonometric function, solitary pattern solutions, solitary wave solutions, Jacobi and Weierstrass elliptic function solutions are given by the auxiliary equation method.

近来,随着计算机技术的发展,关于孤立波的研究越来越多的依赖于计算机软件的应用,随之产生了一系列求解非线性波动方程的新方法,并且这些方法逐渐的被应用到离散的非线性微分—差分系统中来研究离散系统的孤立波问题。

By using the solutions of a new auxiliary elliptic equation,a direct algebraic method is proposed to construct the exact solutions of some nonlinear evolution equations.The main difference between this method and previous auxiliary elliptic equation methods is that the balance order becomes smaller after using the new auxiliary elliptic equation.Therefore,the derived algebraic equations are greatly simplified.

利用一个新的辅助椭圆方程将求解非线性发展方程精确解的问题转化为一个代数方程组进行求解,与已有的辅助椭圆方程法的主要不同是,应用这一新的辅助椭圆方程后降低了平衡次数,减少了所得的代数方程组的个数和方程的项数,从而大大地简化了代数方程组的求解。

Mathematics mechanization; Symbolic computation; Exact solution; Auxiliary equation method; Soliton

基础科学,数学,数学分析数学机械化;符号计算;精确解;辅助方程法;孤立子

The many exact solutions and compact-like solutions uch as,trigonometric function,solitary pattern solutions, solitary wave solutions are given by the auxiliary equation method.

在第六章,我们将指数函数法(Exp-function method)应用到一类变系数非线性波方程中,借助计算软件Maple得到了组合变系数KdV-mKdV方程的广义孤立波解。

A slotted concentric cylinder carries a continuous solid wing across and in contact with the interior surface of an ovoid shell, shaped for exact diameter in all directions on the eccentric axis of revolution.

" "开槽同心圆柱体,带有连续固相荣跨越和联系,与内部表面一卵形壳,形状为直径的确切在各个方向上偏心轴的革命。

Our products are widely applied in various fields as metallurgy,electric power, mechanical manufacturing, food industry,medicine,automobile, textile ,chemistry and so on.We are a vigorous company which can provide axletree technique and perfect exact service soonest.

产品广泛应用在冶金、电力、矿山、机械制造、食品、医药、汽车、纺织、化工等众多领域,能在最短的时间为用户提供轴承技术及工艺精深到位的服务,是一家生机勃勃充满活力的企业。

Jack claims that Babette represents the exact opposite of these women and, until Dylar, shared everything with him.

杰克称,芭贝特代表正好相反,这些妇女和,直至Dylar ,与他分享一切。

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Cynanchum Lingtai apricot production in the average weight 65 grams, the brightly-colored fruit, juicy rich, sweet-sour taste, sweet from the nucleolus, when the late Qing Dynasty famous Shaanxi, Gansu provinces, the Qing imperial court Tongzhi tribute for years.

灵台生产的牛心杏平均单果重65克,果实色泽鲜艳,汁多味浓,甜酸适口,离核仁甜,清末时就驰名陕、甘两省,清同治年间曾为朝廷贡品。

Chenopodium album,Solanum nigrum, and Amaranthus retroflexus were very susceptible to the herbicides. Polygonum persicaria and Abutilon theophrasti were relatively less susceptible to the herbicides, and Lycopersicon esculentum was not susceptible to it. The relationship between reduction rates of weed biomass and PPM values of weed leaves 2,4, and 6 days after treatment was established.

供试的6种杂草对该混剂的敏感性存在显著差异:红心藜Chenopodium album、龙葵Solanum nigrum和反枝苋Amaranthus retroflexus对该混剂最敏感,ED90值分别为47.65、71.67和29.17g/hm2;春蓼Polygonum persicaria和苘麻Abutilon theophrasti敏感,ED90值分别为96.91、114.20g/hm2;而番茄不敏感。

However, I have an idea.

不过,我有个主意。