Step Soliton Generalized Solutions of the Shallow Water Equations
Joint Authors
Alvarez, A. C.
Meril, A.
Valiño-Alonso, B.
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-24, 24 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-07-26
Country of Publication
Egypt
No. of Pages
24
Main Subjects
Abstract EN
Generalized solutions of the shallow water equations are obtained.
One studies the particular case of a generalized soliton function passing by a variable bottom.
We consider a case of discontinuity in bottom depth.
We assume that the surface elevation is given by a step soliton which is defined using generalized solutions (Colombeau 1993).
Finally, a system of functional equations is obtained where the amplitudes and celerity of wave are the unknown parameters.
Numerical results are presented showing that the generalized solution produces good results having physical sense.
American Psychological Association (APA)
Alvarez, A. C.& Meril, A.& Valiño-Alonso, B.. 2012. Step Soliton Generalized Solutions of the Shallow Water Equations. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-24.
https://search.emarefa.net/detail/BIM-993837
Modern Language Association (MLA)
Alvarez, A. C.…[et al.]. Step Soliton Generalized Solutions of the Shallow Water Equations. Journal of Applied Mathematics No. 2012 (2012), pp.1-24.
https://search.emarefa.net/detail/BIM-993837
American Medical Association (AMA)
Alvarez, A. C.& Meril, A.& Valiño-Alonso, B.. Step Soliton Generalized Solutions of the Shallow Water Equations. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-24.
https://search.emarefa.net/detail/BIM-993837
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-993837