1) Self-similar solution
自相似解
1.
Global self-similar solutions for higher-order nonlinear Schrdinger equations;
高阶非线性Schrdinger方程的自相似解
2.
Furthermore,when the equation can be reduced to Airy equation,or has elliptic function solutions after transformed by Boutroux transformation,then self-similar solutions are obtained for the KP equation in two kind of cases.
在此基础上,一是进一步将Painlevé性质的非线性常微分方程弱化为Airy方程;二是引入Boutroux变换,使转化后的方程具有椭圆函数解,在这两种情况下分别得到了该方程的渐近自相似解。
3.
This survey paper is devoted to some new progress on the self-similar solutions for some nonlinear evolution equations.
本文着力于给出非线性发展方程的自相似解的一些最新的研究进展。
2) Self-Similar solutions
自相似解
1.
Moreover,the global unique existence of self-similar solutions is obtained in weak L~p space for the small initial value with self-similar structure.
对于α的某一取值范围,应用广义Strichartz不等式和压缩映射原理研究了初值在弱L~P空间中足够小的条件下,非线性Schrdinger方程Cauchy问题整体解和自相似解的存在性。
2.
In this paper we study the existence of global small solutions and self-similar solutions for the generalized Davey-Stewartson system.
本文研究Dalvey-Stewartson方程组的整体解与自相似解的存在性。
3.
Furthermore,the asymptotic self-similar solutions to the cylindrical KdV equation are also given for two cases.
文章用相似变换方法对柱KdV方程进行变换,将其化为具有Painleve性质的非线性常微分方程,并且进一步讨论了柱KdV方程在两种情况下的渐近自相似解。
3) similarity solution
自相似解
1.
A method for finding similarity solution of (2+1)-dimensional nonlinear partial differential equation(s);
一类高维非线性方程(组)自相似解的简易求法
5) self-similar singular solution
自相似奇性解
1.
The self-similar singular solution of the fast diffusion equation with nonlinear gradient absorption terms had been studied.
研究一类带有非线性梯度吸收项的快速扩散方程的自相似奇性解。
6) global self-similar solutions
整体自相似解
1.
In this paper we study the existence and uniqueness of global self-similar solutions to the Cauchy problem for nonlinear Schrodinger equation by using the method of harmonic analysis.
本文应用调和分析的方法研究了一类非线性Schrodinger方程Cauchy问题整体自相似解的存在唯一性。
补充资料：自调自净自度
【自调自净自度】
（术语）同自调项。
（术语）同自调项。
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