## Abstract In this paper, the existence and the uniqueness of the global solution for the Cauchy problem of the multidimensional generalized Boussinesq equation are obtained. Furthermore, the blow‐up of the solution for the Cauchy problem of the generalized Boussinesq equation is proved. Copyright
New solitary wave solutions for the bad Boussinesq and good Boussinesq equations
✍ Scribed by H. Jafari; A. Borhanifar; S.A. Karimi
- Publisher
- John Wiley and Sons
- Year
- 2009
- Tongue
- English
- Weight
- 64 KB
- Volume
- 25
- Category
- Article
- ISSN
- 0749-159X
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📜 SIMILAR VOLUMES
## Communicated by G. F. Roach We consider the Cauchy problem for the damped Boussinesq equation governing long wave propagation in a viscous fluid of small depth. For the cases of one, two, and three space dimensions local in time existence and uniqueness of a solution is proved. We show that for
This paper is concerned with traveling waves for the generalized Kadomtsev}Petviashvili equation (w y)31, t31, i.e. solutions of the form w(t, , y)"u( !ct, y). We study both, solutions periodic in x" !ct and solitary waves, which are decaying in x, and their interrelations. In particular, we prove