Nonlinear dynamical study to time fractional Dullian–Gottwald–Holm model of shallow water waves

Autor:	M. Younis, Aly R. Seadawy, I. Sikandar, M. Z. Baber, N. Ahmed, S. T. R. Rizvi, Saad Althobaiti
Rok vydání:	2021
Předmět:	Statistical and Nonlinear Physics Condensed Matter Physics
Zdroj:	International Journal of Modern Physics B. 36
ISSN:	1793-6578 0217-9792
DOI:	10.1142/s0217979222500047
Popis:	This paper studies the exact traveling wave solutions to the nonlinear Dullin–Gottwald–Holm model which has the application in shallow-water waves in which the fractional derivative is considered in the sense of conformable derivative. Diverse exact solutions in hyperbolic, trigonometric and plane wave forms are obtained using two integration norms. For this purpose [Formula: see text]-expansion method and reccati mapping techniques are used. The 3D plots and their corresponding contour graphs are also depicted. Being concise and straightforward, the calculations demonstrate the effectiveness and convenience of the method for solving other nonlinear partial differential equations.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::f0c7a7699f574fc640dc40287ecb7379 https://doi.org/10.1142/s0217979222500047 Zobrazit plný text záznamu