The exact solution to Boussinesq equation through a limiting procedure
β Scribed by Yi Zhang; Deng-yuan Chen; Zhi-bin Li
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 164 KB
- Volume
- 373
- Category
- Article
- ISSN
- 0378-4371
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π 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
In the present note, by use of the hyperbolic tangent method, a progressive wave solution to the Korteweg-de Vries-Burgers (KdVB) equation is presented. The solution we introduced here is less restrictive and comprises some solutions existing in the current literature (see [