Open AccessNew explicit exact solutions of one type of generalized Boussinesq equations and the Boussinesq-Burgers equation
Author(s) -
Liang Gao,
Wei Xu,
Yaning Tang,
Shen Jian-wei
Publication year - 2007
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.56.1860
Subject(s) - elliptic function , burgers' equation , type (biology) , boussinesq approximation (buoyancy) , jacobi elliptic functions , mathematical analysis , algebraic number , mathematics , physics , partial differential equation , mechanics , convection , ecology , natural convection , rayleigh number , biology
In this paper, explicit exact solutions of one type of generalized Boussinesq equations (B(mn) 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.