50 Result(s)
within
Mostafa M. A. Khater
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Exploring novel wave characteristics in a nonlinear model with complexity arising in plasma physics
Understanding the intricate Korteweg–de Vries ( \(\text {c}\mathbb {K}\text {d}\mathbb {V}\) ...
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Transcending classical diffusion models: nonlinear dynamics and solitary waves in the fractional Chaffee–Infante equation
This research employs advanced computational methodologies to analyze solitary wave solutions associated with the fractional nonlinear Chaffee–Infante ( ...
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Nonlinearity, Dispersion, and Dissipation in Water Wave Dynamics: The \(\mathbb{B}\mathbb{L}\) Equation Unraveled
This study presents two novel analytical methodologies for the derivation of solitary wave solutions within the framework of the Benney-Luke (
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Advancing Mathematical Physics: Insights into Solving Nonlinear Time-Fractional Equations
This study is centered on addressing the complexities of the nonlinear time-fractional Harry Dym equation through a combined application of analytical and numerical methodologies. The principal objective is to...
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Unraveling plasma dynamics: stability analysis of generalized \({{\mathbb {D}}}{{\mathbb {S}}}\) equation solutions
This study delves into investigating the stability of solutions pertaining to the generalized Davey–Stewartson ( $${{\mathbb {D}}}{{\mathbb {S}...
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Innovative Insights into Wave Phenomena: Computational Exploration of Nonlinear Complex Fractional Generalized-Zakharov System
This study employs advanced computational methodologies to investigate the nonlinear complex fractional generalized Zakharov equations, herein referred to as ...
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Dynamics of Nonlinear Time Fractional Equations in Shallow Water Waves
This study investigates the modified nonlinear time fractional Harry Dym equation, incorporating the conformable fractional derivative. Functioning as a mathematical framework for examining nonlinear phenomena...
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Unraveling Physical Phenomena: Investigating Solitary Wave Characteristics in the Boiti–Leon–Pempinelli System
This study presents a new approach for accurately obtaining solitary wave solutions in the Boiti–Leon–Pempinelli \(({\mathcal {BLP}})\) ...
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Systematic exploration of solitary wave characteristics for the high-order dispersive extended nonlinear Schrödinger model
Nonlinear dispersive waves influenced by higher–order dispersion effects play a pivotal role across various scientific disciplines. While numerical simulations offer valuable approximations, analytical solutio...
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Novel and accurate solitary wave solutions for the perturbed Radhakrishnan–Kundu–Lakshmanan model
This study delves into the perturbed Radhakrishnan–Kundu–Lakshmanan ( \((p\mathcal {RKL})\) ...
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Beyond the surface: mathematical insights into water waves and quantum fields
This paper examines the complex characteristics of the modified Benjamin–Bona–Mahony equation ( \(\text {m}{\mathcal {BBM}}\) ...
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Numerical solutions and analytical methods for the Kuralay equation: a path to understanding integrable systems
This study undertakes the challenging task of unraveling the intricacies embedded in the integrable Kuralay equation, a cornerstone in the field of mathematical physics. Specifically, our focus extends to the ...
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Exploring accurate soliton propagation in physical systems: a computational study of the (1+1)-dimensional \(\mathbb {MNW}\) integrable equation
This study investigates the integrable Mikhailov–Novikov–Wang ( \(\mathbb {MNW}\) MNW ...
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Exploring the rich solution landscape of the generalized Kawahara equation: insights from analytical techniques
The primary objective of this investigation revolves around scrutinizing the generalized Kawahara equation, a consequential nonlinear evolution equation prevalent in diverse physical domains such as shallow wa...
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Correction to: On some novel bright, dark and optical solitons to the cubic-quintic nonlinear non-paraxial pulse propagation model
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Efficiency and reliability of computational techniques in solving the (2+1)-dimensional \(\mathbb {AKNS}\) equation: a solitary wave classification study
In our investigation, we’ve utilized an advanced computational technique, the modified exp \(-\phi (\zeta )\) ...
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Solving nonlinear Hamiltonian amplitude equation: novel insights and computational strategies
This research provides the first known solution to the nonlinear Hamiltonian amplitude equation using the combined Bernoulli sub-equation function and trigonometric-quintic-B-spline methods. While previous wor...
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Modeling Wave Propagation with Gravity and Surface Tension: Soliton Solutions for the Generalized Hietarinta-Type Equation
This study explores analytical and approximate explicit solutions for the generalized Hietarinta-type equation, denoted as ( $${{\mathcal {G}}}...
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Waves in motion: unraveling nonlinear behavior through the Gilson–Pickering equation
This study addresses the challenge of solving the nonlinear Gilson–Pickering \( \mathbb{G}\mathbb{P}\) ...
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Advanced computational techniques for solving the modified KdV-KP equation and modeling nonlinear waves
This research employs recent and precise computational techniques to identify new and accurate solitary wave solutions of the modified Korteweg-de Vries-Kadomtsev-Petviashvili (KdV-KP) equation. The KdV-KP equ...
