Approximate models such as the Boussinesq equations are widely used in coastal and ocean engineering. There are a lot of forms of the Boussinesq equations [1].

The shallow water equations in the Boussinesq approximation are studied in this paper. Two cases of these equations are studied: in Eulerian coordinates and ...

Semantic Scholar extracted view of "Symmetries of the shallow water equations in the Boussinesq approximation" by P. Voraka et al.

In this paper we study a shallow water equation derivable using the Boussinesq approximation ... We also obtain symmetry reductions of the shallow water equation ...

Sep 7, 2008 · This paper considers nonlinear equations describing the propagation of long waves in two-dimensional shear flow of a heavy ideal ...

Dec 23, 2019 · The generalized Boussinesq equation is a useful model to describe the water wave. In this paper, with the coupled Alice-Bob (AB) systems, ...

In this paper we study the generalised Boussinesq equation u xxxx + [D(u)] xx = u tt : (1) The Boussinesq equation that (1) generalises, obtained when D(u) ...

Jan 13, 1994 · In this paper we study a shallow water equation derivable using the Boussinesq approximation, which includes as two special cases, one equation discussed by ...

In this paper we study symmetry reductions and exact solutions of the shallow water wave (SWW) equation $$u_{xxxt} + \alpha u_x u_{xt} + \beta u_t u_{xx} ...

Nonlocal symmetries, conservation laws and interaction solutions for the classical Boussinesq–Burgers equation. Article 25 September 2018. Keywords. Shallow ...