SHALLOW WATER WAVES MODELED BY THE BOUSSINESQ EQUATION HAVING LOGARITHMIC NONLINEARITY

Anjan Biswas; Abdul H. Kara; Luminita Moraru; Houria Triki; Seithuti P. Moshokoa

Journal article

SHALLOW WATER WAVES MODELED BY THE BOUSSINESQ EQUATION HAVING LOGARITHMIC NONLINEARITY

Anjan Biswas, Abdul H. Kara, Luminita Moraru, Houria Triki and Seithuti P. Moshokoa

Proceedings of the Romanian Academy. Series A Mathematics, Physics, Technical Sciences, Information Science, Vol.18(2), pp.144-149

01/04/2017

Abstract

Multidisciplinary Sciences

Science & Technology

Science & Technology - Other Topics

We study shallow water waves that are described by the Boussinesq equation having logarithmic nonlinearity. The traveling wave hypothesis is applied to obtain Gausson solutions. The method of undetermined coefficients also solves the dynamical model. Finally, the conservation laws are computed using the method of multipliers.

Metrics

1 Record Views

Details

Title: SHALLOW WATER WAVES MODELED BY THE BOUSSINESQ EQUATION HAVING LOGARITHMIC NONLINEARITY
Creators - without role: Anjan Biswas - Tshwane University of Technology
Abdul H. Kara - University of the Witwatersrand
Luminita Moraru - "Dunarea de Jos" University of Galati
Houria Triki - Badji Mokhtar University
Seithuti P. Moshokoa - Tshwane University of Technology
Publication Details: Proceedings of the Romanian Academy. Series A Mathematics, Physics, Technical Sciences, Information Science, Vol.18(2), pp.144-149
Publisher: Editura Acad Romane
Number of pages: 6
Grant note: 92052; IRF1202210126 / South African National Foundation Department of Mathematics and Statistics at Tshwane University of Technology
Identifiers: 9940173408331
Academic Unit: King Abdulaziz University
Language: English
Resource Type: Journal article