Application of the modified simple equation method for solving two nonlinear time-fractional long water wave equations
Document title: Application of the modified simple equation method for solving two nonlinear time-fractional long water wave equations
Journal: Revista mexicana de física
Database: PERIÓDICA
System number: 000447365
ISSN: 0035-001X
Authors: 1
1
1
Institutions: 1Ege University, Faculty of Science, Izmir. Turquía
Year:
Season: Nov-Dic
Volumen: 67
Number: 6
Country: México
Language: Inglés
Document type: Artículo
Approach: Analítico, teórico
English abstract Recently, nonlinear fractional partial differential equations have been used to model many phenomena in applied sciences and engineering. In this study, the modified simple equation scheme is implemented to obtain some new traveling wave solutions of the nonlinear conformable time-fractional approximate long water wave equation and the nonlinear conformable coupled time-fractional Boussinesq-Burger equation, which are used in the expression of shallow-water waves. The time-fractional derivatives are described in terms of conformable fractional derivative sense. Consequently, new exact traveling wave solutions of both equations are achieved
Disciplines: Física y astronomía
Keyword: Ecuaciones diferenciales parciales fraccionarias,
Método de ecuación simple modificado,
Derivada fraccionaria conforme,
Ecuación aproximada de onda de agua larga,
Ecuación acoplada de Boussinesq-Burger
Keyword: Fractional partial differential equations,
Modified simple equation method,
Conformable fractional derivative,
Approximate long water wave equation,
Coupled Boussinesq-Burger equation
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