1) explicit and exact solution
显式精确解
1.
Some explicit and exact solutions to nonlinear evolution equations were obtained by the(improved) method.
对修正双曲正切函数展开法进行了拓展,给出了较一般的形式,并应用该方法获得了一些非线性发展方程的显式精确解。
2.
As a result, a number of explicit and exact solutions to some nonlinear evolution equations of physical interest are obtained by means of this technique.
通过对文献[10]中所提出的试探函数法进行改进,提出了一种求非线性演化方程精确解的新方法,并用该方法求得了几个非线性演化方程的许多显式精确解。
3.
In this paper,the eight kinds of explicit and exact solutions of the Liénard equation with high order nonlinear term are found by combining the appropriate transformation and the ansatz method.
通过选取适当的变换结合假设待定法,求出了具高阶非线性项的Liénard方程a″(ξ)+la(ξ)+ma2p+1(ξ)+na4p+1(ξ)=0的8类显式精确解,据此求出了广义长短波方程的孤波解、奇异行波解和三角函数型周期波解。
2) explicit and exact travelling wave solution
多显式和精确行波解
1.
Using this method and Wu elimination method,many new explicit and exact travelling wave solution are obtained to a class of reaction diffusion equation.
用这种方法和吴消元法,得到一类反应扩散方程的许多显式和精确行波解。
3) the exact analytic expression
精确解析式
1.
Proceeding from the identically equal of Γ\|function and incomplete Γ\|function, this paper calculate the exact analytic expression of Γ(α) and lnΓ(α), and calculate the exact analytic expression of new algorithm for Γ\|distribution function based on the reference[1].
从Γ函数与不完全Γ函数的恒等关系出发， 导出了Γ（α） 与ｌｎΓ（α） 的精确解析式， 并在文［１］ 的基础上导出Γ分布函数新算法的精确解析式。
4) exact fractional solution
精确分式解
1.
Using trial function method and with the aid of the Maple,exact fractional solutions to the Zakharov-Kuznetsov equation were obtained in the research,which included rational function solutions,triangular periodic,solitary wave and Jacobi elliptic function doubly periodic solutions.
文章综合应用试探函数法,借助Maple软件,获得了Zakharov-Kuznetsov方程的精确分式解,包括有理函数解、三角函数周期解、孤立波解、Jacobi椭圆函数双周期解,并对部分解给出了数字图像。
5) perturbational exponential numerical scheme
精确数值解格式
6) accurate solution
精确解
1.
Aimed at the vadose of horizontal well in sandstone gas reservoir, the accurate solutions about three basic boundary value problems are found in this paper, which is of important theoretical and practical significance on well test interpretation of horizontal well in sandstone gas reservoir.
本文针对砂岩气藏水平井渗流问题,求得了关于三个基本边值问题的精确解,对砂岩气藏水平井试井解释有着重要的理论和实际意义。
2.
The vibration of a fixed supported pipe containing flowing fluid was studied, and the accurate solution of the function of the normal vibration mode and the corresponding frequency equation were obtained.
研究有流体流动固支管道的振动,得到了振型函数的精确解和相应的频率方程。
3.
In this paper, the reciprocal theorem is applied to research on the bending problem of rectangular plates with opposite simple supported and clamped edges under distributed bending moment and a concentrated bending moment acting at any of its points, the accurate solution of the problem are given.
应用功的互等定理研究了在分布弯矩与任一点集中弯矩共同作用下对边简支另一对边固定的矩形板的弯曲问题,给出了该问题的精确解。
补充资料：托事显法生解门
【托事显法生解门】
（术语）华严宗所立十玄门之一。同于天台宗之托事观。托于浅近事相而显深妙法理之法门也。密教事相门之标帜，全属于此门。(参见：玄门)
（术语）华严宗所立十玄门之一。同于天台宗之托事观。托于浅近事相而显深妙法理之法门也。密教事相门之标帜，全属于此门。(参见：玄门)
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