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中国物理学会期刊

(2+1)维Boussinesq方程的Backlund变换与精确解

CSTR: 32037.14.aps.54.1476

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

CSTR: 32037.14.aps.54.1476
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  • 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 ra tional solutions. Some exact solutions include arbitrary functions, when these a rbitrary functions are taken as some special functions, these solutions possess abundant structures.

     

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