重庆理工大学学报(自然科学版)Issue(6):151-154,4.DOI:10.3969/j.issn.1674-8425(z).2015.06.027
Boussinesq equations的新的精确解
Exact Soiutions of Boussinesq Equations
摘要
Abstract
Differential equations contain linear and nonlinear differential equations. Research of the nonlinear differential equations is the subject of differential equations,especially nonlinear partial dif-ferential equations. Many significant natural science and engineering problems can be attributed to nonlinear partial differential equation. In addition,with the development of research,some of the o-riginal with linear partial differential equation approximation problem must also consider nonlinear effects. From the traditional point of view,the exact solution of partial differential equation is very dif-ficult. After several decades of research and exploration,we have found some tectonic exact solution method. In this paper,with the help of traveling wave transformation method,improved hyperbolic functions method,the homogeneous balance method and the quasi solution method,some new exact solutions of Boussinesq equations were presented. This method could solve a series of partial differen-tial equations.关键词
行波变换/精确解/Boussinesq equationsKey words
travelling-wave transform/exact solutions/Boussinesq equations分类
数学引用本文复制引用
李伟..Boussinesq equations的新的精确解[J].重庆理工大学学报(自然科学版),2015,(6):151-154,4.基金项目
国家自然科学基金资助项目 ()