New Exact Solutions and Modulation Instability for the Nonlinear (2+1)-Dimensional Davey-Stewartson System of Equation

Autor: Kwasi Boateng, Weiguo Yang, Wilson Osafo Apeanti, David Yaro
Jazyk: angličtina
Rok vydání: 2019
Předmět:
Zdroj: Advances in Mathematical Physics, Vol 2019 (2019)
Druh dokumentu: article
ISSN: 1687-9120
1687-9139
DOI: 10.1155/2019/3879259
Popis: The Davey-Stewartson Equation (DSE) is an equation system that reflects the evolution in finite depth of soft nonlinear packets of water waves that move in one direction but in which the waves’ amplitude is modulated in spatial directions. This paper uses the Generalized Elliptic Equation Rational Expansion (GEERE) technique to extract fresh exact solutions for the DSE. As a consequence, solutions with parameters of trigonometric, hyperbolic, and rational function are achieved. To display the physical characteristics of this model, the solutions obtained are graphically displayed. Modulation instability assessment of the outcomes acquired is also discussed and it demonstrates that all the solutions built are accurate and stable.
Databáze: Directory of Open Access Journals
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