Traveling-Wave Solution to a Nonlinear Equation in Semiconductors with Strong Spatial Dispersion

被引：9

作者：

Al'shin, A. B. ^{[1
]}

Korpusov, M. O. ^{[1
]}

Yushkov, E. V. ^{[1
]}

机构：

[1] Moscow MV Lomonosov State Univ, Fac Phys, Moscow 119992, Russia

来源：

COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2008年 / 48卷 / 05期

基金：

俄罗斯基础研究基金会;

关键词：

nonlinear Korteweg-de Vries equation; traveling-wave solutions; semiconductors with strong spatial dispersion;

D O I：

10.1134/S0965542508050060

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The third-order nonlinear differential equation (u(xx) - u)(t) + u(xxx) + uu(x) = 0 is analyzed and compared with the Korteweg-de Vries equation u(t) + u(xxx) - 6uu(x) = 0. Some integrals of motion for this equation are presented. The conditions are established under which a traveling wave is a solution to this equation.

引用

页码：764 / 768

页数：5