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Dynamics of Shallow Water Waves with Kawahara Equation

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This paper studies the dynamics of shallow water waves modeled by Kawahara equation. The focus of this paper is to extract solitary waves, shock waves and other solutions supported by this equation. There are four integration schemes implemented in this paper. The analytical results are all supplemented with numerical simulations.

Keywords: Exact Solutions; Shallow Water; Solitary Waves

Document Type: Research Article

Affiliations: 1: Laboratoire d’Etudes and Recherche en Instrumentations et Communications, Faculty of Engineering, Department of Electronics, Badji Mokhtar University, 23000, Annaba, Algeria 2: Radiation Physics Laboratory, Department of Physics, Faculty of Sciences, Badji Mokhtar University, P.O. Box 12, 23000 Annaba, Algeria 3: Department of Mathematical Sciences, Delaware State University, Dover, DE 19901-2277, USA 4: Science Program, Texas A&M University at Qatar, P.O. Box 23874, Doha, Qatar

Publication date: December 1, 2015

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  • Journal of Computational and Theoretical Nanoscience is an international peer-reviewed journal with a wide-ranging coverage, consolidates research activities in all aspects of computational and theoretical nanoscience into a single reference source. This journal offers scientists and engineers peer-reviewed research papers in all aspects of computational and theoretical nanoscience and nanotechnology in chemistry, physics, materials science, engineering and biology to publish original full papers and timely state-of-the-art reviews and short communications encompassing the fundamental and applied research.
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