Perturbation of shallow water waves by semi-inverse variational principle

Springer Science and Business Media LLC - Tập 87 - Trang 567-569 - 2013
A. Biswas1,2, D. M. Milovic3, S. Kumar4, A. Yildirim5
1Department of Mathematical Sciences, Delaware State University, Dover, USA
2Department of Mathematics, Faculty of Sciences, King Abdulaziz University, Jeddah, Saudi Arabia
3Department of Telecommunications, Faculty of Electronic Engineering, University of Nis, Nis, Serbia
4Department of Applied Sciences, Bahra Faculty of Engineering, Patiala, India
5Department of Mathematics, Ege University, Bornova, Izmir, Turkey

Tóm tắt

This paper addresses the shallow water waves along with its perturbation terms that are modeled by Boussinesq equation. The power law nonlinearity is taken into consideration for a generalized setting. The semi-inverse variational principle is employed to derive the soliton solution in presence of perturbation terms. A couple of numerical simulations illustrate the analytical development.

Tài liệu tham khảo

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