21 Result(s)
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Article
Mostafa M. A. Khater
Physics
Characterization and Evaluation of Materials
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Article
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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Article
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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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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Article
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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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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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...
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Effects of integrability criterion on nonlinear Schrödinger equations with mixed derivatives: insights from the Rangwala–Rao equation
This study explores the impact of the integrability criterion on nonlinear Schrödinger ( \(\mathcal {NLS}\)
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On some novel optical solitons to the cubic–quintic nonlinear Helmholtz model
The purpose of this study is to employ the Sine–Cosine expansion approach to produce some new sort of soliton solutions for the cubic–quintic nonlinear Helmholtz problem. The nonlinear complex model compensate...
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Recent electronic communications; optical quasi–monochromatic soliton waves in fiber medium of the perturbed Fokas–Lenells equation
In this study, the solitary wave solutions of the complex nonlinear perturbed Fokas–Lenells (pFL) equation by implementing the Khater II method. The nonlinear pFL model’s soliton wave solutions describe the pr...
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Dynamical behaviour of Chiral nonlinear Schrödinger equation
In this work, we study the exact traveling wave solutions of \((2+1)\) ( ...
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On some novel bright, dark and optical solitons to the cubic-quintic nonlinear non-paraxial pulse propagation model
In this article, the modified Khater method is utilized to extract new analytical solutions to the cubic-quintic nonlinear non-paraxial pulse propagation model in a planar waveguide with Kerr nonlinearity, fif...
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New kinds of analytical solitary wave solutions for ionic currents on microtubules equation via two different techniques
In this survey, the ionic currents along the microtubules equation handled by applying two different techniques. It describes the ionic transport throughout the intracellular environment. This phenomenon expla...
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Bifurcation of new optical solitary wave solutions for the nonlinear long-short wave interaction system via two improved models of \((\frac{G'}{G})\) expansion method
This study performs two recent methods on the nonlinear long-short wave interaction system (NLSWIS) to obtain novel formulas of solitary solutions representing an optical field that does not alter by multiplic...
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Structure of optical soliton solutions for the generalized higher-order nonlinear Schrödinger equation with light-wave promulgation in an optical fiber
In this work, we investigate unprecedented optical closed form of solutions for the generalized higher-order nonlinear Schrödinger equation. This vital model in the optical fiber. Schrödinger equation describe...
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Optical soliton and bright–dark solitary wave solutions of nonlinear complex Kundu–Eckhaus dynamical equation of the ultra-short femtosecond pulses in an optical fiber
In this research, we examine exact and solitary traveling solutions of nonlinear complex Kundu–Eckhaus equation with variable coefficients. Nonlinear complex Kundu–Eckhaus equation model has vital role in desc...
