New analytical solutions of fractional symmetric regularized-long-wave equation



Document title: New analytical solutions of fractional symmetric regularized-long-wave equation
Journal: Revista mexicana de física
Database: PERIÓDICA
System number: 000439157
ISSN: 0035-001X
Authors: 1
Institutions: 1Nevsehir University, Department of Mathematics, Nevsehir. Turquía
Year:
Season: May-Jun
Volumen: 66
Number: 3
Country: México
Language: Inglés
Document type: Artículo
Approach: Analítico, teórico
English abstract In this study, the new extended direct algebraic method (NEDAM) is successfully implemented to acquire new exact wave solution sets for the symmetric regularized-long-wave (SRLW) equation which arises in long water flow models. With the help of the symbolic calculation package Mathematica, the method produced a great number of analytical solutions. We also presented a few graphical illustrations for some surfaces. The fractional derivatives are considered in the conformable sense. All of the solutions were validated by substitution to the equation to ensure the reliability of the method. Obtained results confirm that this is a straightforward, powerful, and effective method to attain exact solutions for nonlinear fractional differential equations. Therefore, the method is a good candidate to take part in the existing literature
Disciplines: Física y astronomía
Keyword: Física,
Derivada fraccional conformable,
Ecuación simétrica de onda larga regularizada,
Nuevo método algebraico directo extendido
Keyword: Physics,
Fractional partial differential equations,
Conformable fractional derivative,
Symmetric regularized-long-wave equation,
New extended direct algebraic method
Full text: Texto completo (Ver HTML) Texto completo (Ver PDF)