Novel dynamics of the fractional KFG equation through the unified and unified solver schemes with stability and multistability analysis

Authors: Alam Noor, Ullah Mohammad Safi, Nofal Taher A., Ahmed Hamdy M., Ahmed Karim K., AL-Nahhas Mahmoud A.

Source: Nonlinear Engineering, Vol 13, Iss 1, Pp 1-24 (2024)

Subject Terms: fractional klein–fock–gordon equation, unified technique, unified solver technique, Engineering (General). Civil engineering (General), TA1-2040

File Description: electronic resource

Relation: https://doaj.org/toc/2192-8029

Access URL: https://doaj.org/article/7cd540dcad574184a309ffdd80f6a804

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Traveling and soliton waves and their characteristics in the extended (3+1)-dimensional Kadomtsev–Petviashvili equation in fluid

Authors: Samir, Islam ^a, Ahmed, Hamdy M. ^b, Emadifar, Homan ^{c, d, ⁎}, Ahmed, Karim K. ^e

Source: In Partial Differential Equations in Applied Mathematics June 2025 14

Characterizing stochastic solitons behavior in (3+1)-dimensional Schrödinger equation with Cubic–Quintic nonlinearity using improved modified extended tanh-function scheme

Authors: Ahmed, Karim K., Ahmed, Hamdy M., Shehab, Mohammed F., Khalil, Tarek A., Emadifar, Homan, Rabie, Wafaa B.

Source: In Physics Open December 2024 21

Extraction of newly soliton wave structure of generalized stochastic NLSE with standard Brownian motion, quintuple power law of nonlinearity and nonlinear chromatic dispersion

Authors: Samir, Islam, Ahmed, Karim K., Ahmed, Hamdy M., Emadifar, Homan, Rabie, Wafaa B.

Source: In Physics Open December 2024 21

Optical solitons for generalised perturbed nonlinear Schrödinger model in the presence of dual-power law nonlinear medium

Authors: Ali, Mohammed H. ^a, Ahmed, Hamdy M. ^{a, ⁎}, Abd-Elmonem, Assmaa ^b, Suoliman, Nagat A.A. ^b, Ahmed, Karim K. ^c, Samir, Islam ^d

Source: In Optik December 2024 319

Optical solitons retrieval for an extension of novel dual-mode of a dispersive non-linear Schrödinger equation

Authors: Ahmed, Karim K., Ahmed, Hamdy M., Badra, Niveen M., Rabie, Wafaa B.

Source: In Optik July 2024 307

Hybrid nanofluids and bioconvection: insights into bacterial behavior and particle interaction.

Authors: Mohamed, E. M., Nasr, E. H., Ahmed, Karim K., Emadifar, Homan, Ahmed, Hamdy M., Alkhatib, Soliman

Source: Boundary Value Problems; 2/27/2025, Vol. 2025 Issue 1, p1-28, 28p

Subject Terms: STAGNATION point, ORDINARY differential equations, PARTIAL differential equations, PRANDTL number, BROWNIAN motion, STAGNATION flow

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Effect of noise on wave solitons for (3+1)-dimensional nonlinear Schrödinger equation in optical fiber: Effect of noise on wave solitons: K K Ahmed et al.

Authors: Ahmed, Karim K., Ahmed, Hamdy M., Rabie, Wafaa B., Shehab, Mohammed F.

Source: Indian Journal of Physics; Dec2024, Vol. 98 Issue 14, p4863-4882, 20p

Innovative soliton solutions for a (2+1)-dimensional generalized KdV equation using two effective approaches.

Authors: Alraddadi, Ibrahim, Alsharif, Faisal, Malik, Sandeep, Ahmad, Hijaz, Radwan, Taha, Ahmed, Karim K.

Source: AIMS Mathematics; 2024, Vol. 9 Issue 12, p1-15, 15p

Subject Terms: PLASMA physics, RICCATI equation, THEORY of wave motion, FLUID mechanics, OPTICAL fibers

Soliton solutions of generalized Kundu-Eckhaus equation with an extra-dispersion via improved modified extended tanh-function technique.

Authors: Ahmed, Karim K.¹ (AUTHOR), Badra, Niveen M.¹ (AUTHOR), Ahmed, Hamdy M.² (AUTHOR) hamdy_17eg@yahoo.com, Rabie, Wafaa B.^3,4 (AUTHOR)

Source: Optical & Quantum Electronics. Apr2023, Vol. 55 Issue 4, p1-17. 17p.

Subject Terms: *SOLITONS, *FEMTOSECOND pulses, *OPTICAL fibers, *FAMILY travel, *EQUATIONS, *OPTICAL solitons

Existence of novel analytical soliton solutions in a magneto-electro-elastic annular bar for the longitudinal wave equation.

Authors: Hussein, Hisham H.¹ (AUTHOR) hisham.hussein@uofcanada.edu.eg, Ahmed, Karim K.² (AUTHOR), Ahmed, Hamdy M.³ (AUTHOR), Elsheikh, Ahmed⁴ (AUTHOR), Alexan, Wassim^5,6 (AUTHOR)

Source: Optical & Quantum Electronics. Aug2024, Vol. 56 Issue 8, p1-13. 13p.

Subject Terms: *LONGITUDINAL waves, *ANALYTICAL solutions, *SCIENTIFIC community, *LONGITUDINAL method, *COMPUTER simulation

New solitons and other exact wave solutions for coupled system of perturbed highly dispersive CGLE in birefringent fibers with polynomial nonlinearity law.

Authors: Rabie, Wafaa B.¹ (AUTHOR), Ahmed, Karim K.^2,3 (AUTHOR), Badra, Niveen M.² (AUTHOR), Ahmed, Hamdy M.⁴ (AUTHOR), Mirzazadeh, M.⁵ (AUTHOR), Eslami, M.⁶ (AUTHOR) Mostafa.eslami@umz.ac.ir

Source: Optical & Quantum Electronics. May2024, Vol. 56 Issue 5, p1-22. 22p.

Subject Terms: *SOLITONS, *OPTICAL fiber communication, *OPTICAL solitons, *ELLIPTIC functions, *POLYNOMIALS, *JACOBI method

Unveiling optical solitons and other solutions for fourth-order (2+1)-dimensional nonlinear Schrödinger equation by modified extended direct algebraic method

Authors: Ahmed, Karim K., Badra, Niveen M., Ahmed, Hamdy M., Rabie, Wafaa B.

Source: Journal of Optics; 20240101, Issue: Preprints p1-13, 13p

Soliton Solutions and Other Solutions for Kundu–Eckhaus Equation with Quintic Nonlinearity and Raman Effect Using the Improved Modified Extended Tanh-Function Method.

Authors: Ahmed, Karim K.^1,2 (AUTHOR), Badra, Niveen M.¹ (AUTHOR), Ahmed, Hamdy M.³ (AUTHOR) hamdy_17eg@yahoo.com, Rabie, Wafaa B.⁴ (AUTHOR)

Source: Mathematics (2227-7390). Nov2022, Vol. 10 Issue 22, p4203. 11p.

Subject Terms: *RAMAN effect, *QUINTIC equations, *OPTICAL solitons, *SOLITONS

Analysis of the dynamical behaviors for the generalized Bogoyavlvensky–Konopelchenko equation and its analytical solutions occurring in mathematical physics.

Authors: Ahmed, Karim K., Hussein, Hisham H., Ahmed, Hamdy M., Rabie, Wafaa B., Alexan, Wassim

Source: Ain Shams Engineering Journal; Nov2024, Vol. 15 Issue 11, pN.PAG-N.PAG, 1p

Subject Terms: MATHEMATICAL physics, NONLINEAR waves, PHYSICAL sciences, FLUID mechanics, ELLIPTIC functions