Abstract The Sine-Gordon expansion method is implemented to construct exact solutions some conformable time fractional equations in Regularized Long Wave (RLW)-class …
MMA Khater, RAM Attia, D Lu - Mathematical and Computational …, 2018 - mdpi.com
In this article, we present a modified auxiliary equation method. We harness this modification in three fundamental models in the biological branch of science. These models are the …
I Jaradat, M Alquran - Journal of Ocean Engineering and Science, 2022 - Elsevier
In this paper we are interested in investigating the physical shape-changed propagations to the generalized Equal-Width equation through studying the explicit solutions of Wazwaz …
The one-dimensional long water wave propagation in a nonlinear medium, including the dispersion process, is well simulated by the fractional-order modified equal-width (MEW) …
AM Wazwaz - Communications in Nonlinear Science and Numerical …, 2006 - Elsevier
The modified equal width equation and two of its variants are investigated. The strategy here rests mainly on a sine–cosine ansatz and the tanh method. Both schemes work well and …
PX Wu, Q Yang, JH He - Fractals, 2022 - World Scientific
In this work, we mainly focus on the fractal variant Boussinesq–Burgers equation which can well describe the motion of shallow water traveling along an unsmooth boundary. First, we …
This article applies the sextic B-spline collocation scheme to obtain the approximate solution of the Generalized Equal Width (GEW) wave equation. The accuracy of the proposed …
This book develops the subject of nonlinear plasma physics from a general physics perspective. It begins with a description of nonlinear oscillations, the parametric instability …
For the newly implemented 3D fractional Wazwaz-Benjamin-Bona-Mahony (WBBM) equation family, the present study explores the exact singular, solitary, and periodic singular …