𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Construction of exact solutions of the Boussinesq equation

✍ Scribed by O. V. Kaptsov


Publisher
SP MAIK Nauka/Interperiodica
Year
1998
Tongue
English
Weight
254 KB
Volume
39
Category
Article
ISSN
0021-8944

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Exact traveling wave solutions of the Bo
✍ Mohammed Khalfallah πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 363 KB

The extended homogeneous balance method is used to construct exact traveling wave solutions of the Boussinesq-Burgers equation, in which the homogeneous balance method is applied to solve the Riccati equation and the reduced nonlinear ordinary differential equation. Many exact traveling wave solutio

Constructing exact solutions for two-dim
✍ Zhenya Yan πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 130 KB

In the first paper (I) we have shown that two-dimensional nonlinear dispersion Boussinesq equations, Bðm; n; k; pÞ, admitted abundant compact structures for different parameters m, n, k, p. In this paper we shall further investigate the solitary pattern solutions of Bðm; n; k; pÞ equations. As a con

New exact solutions for an -dimensional
✍ Yunxi Guo; Shaoyong Lai πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 614 KB

The auxiliary differential equation approach and the symbolic computation system Maple are employed to investigate an (N + 1)-dimensional generalized Boussinesq equation. The exact solutions to the equation are constructed analytically under certain circumstances. It is shown that many of the soluti

Some exact Wick type stochastic generali
✍ FrΓ©dΓ©ric Ginovart πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 569 KB

The resolution of the stochastic generalized Boussinesq equation driven by a white noise is undertaken. Explicit solutions are found thanks to a white noise functional approach and the F-expansion method. Among these solutions, periodic and solitonic ones are pointed out.

Exact solutions of various Boussinesq sy
✍ M. Chen πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 216 KB

It was shown in [1,2] that surface water waves in a water tunnel can be described by systems of the form where a, b, c, and d are real constants. In this paper, we show that to find an exact traveling-wave solution of the system, it is suffice to find a solution of an ordinary differential equation