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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.
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关键词:
- (2+1)维Boussinesq方程 /
- Backlund 变换 /
- 精确解 /
- 类孤子解
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.-
Keywords:
- (2+1)-dimensional Boussinesq equation /
- Backlund transformation /
- exact solutions /
- soliton-like solutions
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