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

Zeng Xin; Zhang Hong-Qing

doi:10.7498/aps.54.1476

Abstract
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
Authors and contacts
Zeng Xin,

Zhang Hong-Qing

1.
大连理工大学应用数学系，大连 116024
References

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Vol. 54, Issue 4 - 2005-02-20

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

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