推广的F/G-展开法及其应用  

Improved F / G-Expansion Method and Its Application

作　　者：胡武强[1] 张金良[1] 

机构地区：[1]河南科技大学数学与统计学院,河南洛阳471023

出　　处：《河南科技大学学报（自然科学版）》2015年第6期91-95,10,共5页Journal of Henan University of Science And Technology:Natural Science

基　　金：河南省基础与前沿技术研究基金项目(092300410179);河南科技大学科研创新能力培育基金项目(2011CX011)

摘　　要：首先推广了F/G-展开法,使之能应用于变系数微分方程的求解中。作为推广的F/G-展开法应用实例,本文在非对称势阱下,求解了(3+1)-维三次-五次Gross-Pitaevskii方程。导出了方程含有较多任意参数的双曲函数形式精确解、三角函数形式周期波解,得到了孤波的传播速度及啁啾随时间的变化规律。Abatract: The F / G-expansion method was improved so that it could be applied to the exact solution of the differential equation with the variable coefficients. As an example of the application of improved F / G-expansion method,the( 3 + 1)-dimensional cubic-quintic Gross-Pitaevskii equation in asymmetric potential traps was studied. Hyperbolic function solitary wave solutions and the trigonometric function periodic wave solutions with more arbitrary parameters were derived. The changes of chirp and propagation velocities were obtained.

关 键 词：(3+1)-维三次-五次Gross-Pitaevskii方程 F/G-展开法 精确解 传播速度 啁啾 

分 类 号：O175.7[理学—数学]