New explicit exact solutions of one type of generalized Boussinesq equations and the Boussinesq-Burgers equation

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Abstract
In this paper, explicit exact solutions of one type of generalized Boussinesq equations (B(m，n) equations) and the Boussinesq-Burgers equation (B-B equation) are investigated using a generalized algebraic method. A variety of explicit exact solutions, such as solitary wave, triangular periodic, rational, Jacobi and Weierstrass elliptic function periodic solutions are obtained.

Keywords:
Boussinesq equations /

Boussinesq-Burgers equation /

generalized algebraic method /

explicit exact solutions
Authors and contacts
Gao Liang¹,

Xu Wei¹,

Tang Ya-Ning¹,

Shen Jian-Wei²

(1)西北工业大学应用数学系，西安 710072; (2)西北工业大学应用数学系，西安 710072;许昌学院数学系，许昌 461000
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