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利用一种推广的代数方法,求解了一类广义Boussinesq方程(B(m,n)方程)和Boussinesq-Burgers方程(B-B方程).获得了其多种形式的显式精确解,包括孤波解、三角函数解、有理函数解、Jacobi椭圆函数周期解和Weierstrass椭圆函数周期解,进一步丰富了这两类方程的解.
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关键词:
- Boussinesq方程 /
- Boussinesq-Burgers方程 /
- 推广的代数方法 /
- 显式精确解
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
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