(2+1)维Boussinesq方程的Backlund变换与精确解  

Backlund transformation and exact solutions for (2+1)-dimensional Boussinesq equation

作　　者：曾昕[1] 张鸿庆[1] 

机构地区：[1]大连理工大学应用数学系,大连116024

出　　处：《物理学报》2005年第4期1476-1480,共5页Acta Physica Sinica

摘　　要：借助于符号计算软件Maple ,对方程的种子解作适当的未知函数替换 ,然后利用Backlund变换通过具体的符号演算获得了 (2 +1)维Boussinesq方程的一系列精确解 .这些解包括类孤子解和有理解 ,其中有的解中含有任意函数 ,当任意函数取特殊函数时 ,这些解具有丰富的结构 ,有些结构可能对物理现象的研究是有意义的 .With the aid of the symbolic computation softwares Maple, we solve the (2 + 1)-dimensional Boussinesq equation by doing proper unknown functions ansatz of the seed solutions of the equation and performing mathematical calculations to obtain a series of exact solutions,which contain soliton-like solutions and rational solutions. Some exact solutions include arbitrary functions, when these arbitrary functions are taken as some special functions, these solutions possess abundant structures.

关 键 词：泊松方程 BACKLUND变换 精确解 非线性物理学 

分 类 号：O241.8[理学—计算数学]