Investigation of exact solitons to the quartic Rosenau-Kawahara-Regularized-Long-Wave fluid model with fractional derivative and qualitative analysis DOI
Haitham Qawaqneh, Jalil Manafian, Abdullah Saad Alsubaie

et al.

Physica Scripta, Journal Year: 2024, Volume and Issue: 100(1), P. 015270 - 015270

Published: Dec. 11, 2024

Abstract In this research, the exact solitons to an important wave equation, namely, quartic Rosenau-Kawahara-Regularized-Long-Wave (QRKRLW) equation are obtained along with effective definition of fractional derivative, Truncated M-fractional. This model has much importance in fluid dynamics, shallow waves, and many others. For our purpose, two schemes, modified extended tanh function scheme improved ( G ′ / stretchy="false">) − expansion utilized. As a consequence, various solutions including, singular, singular-bright, periodic, dark, dark-bright, others obtained. To verify represent solutions, we plotted through 2D, 3D, contour plots using Mathematica tool. Additionally, qualitative analysis concept stability modulation instability is performed for verifying being accurate solutions. At end, schemes also useful other nonlinear models branches sciences, engineering.

Language: Английский

On the extraction of complex behavior of generalized higher-order nonlinear Boussinesq dynamical wave equation and (1+1)-dimensional Van der Waals gas system DOI Creative Commons
Hacı Mehmet Başkonuş, Md Nurul Raihen,

Mehmet Kayalar

et al.

AIMS Mathematics, Journal Year: 2024, Volume and Issue: 9(10), P. 28379 - 28399

Published: Jan. 1, 2024

<p>In this paper, we apply the powerful sine-Gordon expansion method (SGEM), along with a computational program, to construct some new traveling wave soliton solutions for two models, including higher-order nonlinear Boussinesq dynamical equation, which is well-known evolution model in mathematical physics, and (1+1)-dimensional framework of Van der Waals gas system. This study presents complex solutions, as well logarithmic function properties. The 3D 2D graphical representations all obtained unveiling properties considered are simulated. Additionally, several simulations, contour surfaces results, performed, discuss their physical implications. A comprehensive conclusion provided at end paper.</p>

Language: Английский

Citations

2
Investigation of exact solitons to the quartic Rosenau-Kawahara-Regularized-Long-Wave fluid model with fractional derivative and qualitative analysis DOI
Haitham Qawaqneh, Jalil Manafian, Abdullah Saad Alsubaie

et al.

Physica Scripta, Journal Year: 2024, Volume and Issue: 100(1), P. 015270 - 015270

Published: Dec. 11, 2024

Abstract In this research, the exact solitons to an important wave equation, namely, quartic Rosenau-Kawahara-Regularized-Long-Wave (QRKRLW) equation are obtained along with effective definition of fractional derivative, Truncated M-fractional. This model has much importance in fluid dynamics, shallow waves, and many others. For our purpose, two schemes, modified extended tanh function scheme improved ( G ′ / stretchy="false">) − expansion utilized. As a consequence, various solutions including, singular, singular-bright, periodic, dark, dark-bright, others obtained. To verify represent solutions, we plotted through 2D, 3D, contour plots using Mathematica tool. Additionally, qualitative analysis concept stability modulation instability is performed for verifying being accurate solutions. At end, schemes also useful other nonlinear models branches sciences, engineering.

Language: Английский

Citations

1