1) rational solution
有理解
1.
In this paper, we introduce basic facts of analytic theory of the painleve equations, include the meromorphy of the solutions, rational solutions, Backlund transformation and some further results,.
本文介绍Ｐａｉｎｌｅｖｅ方程解析理论的基本内容，包括解的亚纯性，有理解；Ｂａｃｋｌｕｎｄ变换和某些进一步的结果，如高阶第Ｍ类Ｐａｉｎｌｅｖｅ方程的新研究，值分布性质以及一些未解决的问题，其中包括作者的一些新结果。
2) rational solution
有理数解
1.
In this paper, the integer solutions and rational solutions of the right triangular diophantine equation aregiven and generalized to the solutions of diophantine equation x_1~2+x_2~2+…x_n~2=y~2.
给出了勾股丢番图方程的整数解和有理数解,并推广至二次齐次丢番图方程的求解。
2.
In this paper, the general rational solutions and the general integer solutions of are given.
应用复变函数论的方法，简洁地给出了的一切有理数解和一切整数解公式。
3.
In this paper,the all rational solutions of the general Pell s equation is given and applications are given.
本文给出了广义Ｐｅｌｌ方程的一切有理数解公式，应用它得到了一类Ｌｅｇｅｎｄｒｅ方程的一切整数解公式。
3) rational decomposition
有理分解
1.
In this paper,a rational decomposition for the new canonical form is such that each isolated subsystem S_1 is in the rational form.
本文对Ｌｕｒ＇ｅ控制系统新标准型￣［１］进行有理分解，使其孤立子系统Ｓ＿１具有有理形式，并给出一个递归公式，从而使子系统Ｓ＿１的Ｌｉａｐｕｎｏｖ函数便于构造。
4) periodic-like solutions
类有理解
1.
These solutions contain soliton-like solutions, periodic-like solutions,hyperbolic-like function solutions, Jacobi-like elliptic function solutions and so on.
这些解包括类孤子解、类周期解、类有理解、类双曲函数解、类Jacobi椭圆函数解等等 。
5) rational integral formula
有理分式解
1.
And utilize rational integral formula solution to solve the predicting value of ground settlements.
并利用有理分式解法求解地面沉陷预报数值。
6) rational function solution
有理函数解
1.
In this paper,the trial function method based on Cole-Hopf transformation is extended and by using the extended method the new explicit exact solutions for Burgers equation,which include traveling wave solution,solitary wave solutions rational function solution and triangle function solutions are obtained.
对试探函数法进行了一定的扩展,并借此求解出了Burgers方程多个新的显式精确解,其中包括一般形式的行波解、奇异行波解、孤波解、有理函数解和三角函数解。
2.
These solutions contain triangle function solutions,hyperbolic function solutions,rational function solutions,Jacobi elliptic function solutions and so on.
这些解包括三角函数解,双曲函数解,有理函数解,Jacobi椭圆函数解等。
补充资料：购买者理解价值定价法
购买者理解价值定价法：是指根据购买者对产品价值的理解来定价的方法。
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