Results 81 to 90 of about 259 (113)

Novel optical soliton solutions for the generalized integrable (2+1)- dimensional nonlinear Schrödinger system with conformable derivative [PDF]

For the generalized integrable (2+1)-dimensional nonlinear Schrödinger system, new and creative analytical solutions were derived using a novel extended direct algebraic method incorporating conformable derivatives, which could be expressed in terms of ...
Aditi Sharma, Hasim Khan, Ikram Ullah, Javed Iqbal, Muhammad Bilal, Sunil Kumar Sharma   +5 more
core   +1 more source

Traveling wave solutions, numerical solutions, and stability analysis of the (2+1) conformal time-fractional generalized q-deformed sinh-Gordon equation

Nonlinear Engineering
The two-dimensional conformal time-fractional generalized qq-deformed sinh-Gordon equation has been used to model a variety of physical systems, including soliton propagation in asymmetric media, nonlinear waves in optical fibers, quantum field theory ...
Ali Khalid K.
doaj   +1 more source

Unraveling the (4+1)-dimensional Davey-Stewartson-Kadomtsev-Petviashvili equation: Exploring soliton solutions via multiple techniques

Alexandria Engineering Journal
The (4+1)-dimensional Davey-Stewartson-Kadomtsev-Petviashvili equation is explored in the present work, revealing its complex dynamics and solitary wave solutions.
Hamood Ur Rehman, Ghada S. Said, Aamna Amer, Hameed Ashraf, M.M. Tharwat, Mahmoud Abdel-Aty, Nasser S. Elazab, M.S. Osman   +7 more
doaj   +1 more source

New soliton solutions and modulation instability analysis of the regularized long-wave equation in the conformable sense

Partial Differential Equations in Applied Mathematics
In this manuscript, we explore the solitary soliton of the regularized long-wave (RLW) equation which involving with weedy nonlinearity effects and dispersion relations which arises in shallow water, phonon packets in crystals, plasma wave and ion ...
Mohammad Mobarak Hossain, Md. Abu Naim Sheikh, Md. Mamunur Roshid, Harun-Or-Roshid, Mohammad Abu Taher   +4 more
doaj   +1 more source

Novel dynamical group-invariant solutions and conserved vectors of the Gilson–Pickering equation with applications in plasma physics

Partial Differential Equations in Applied Mathematics
This work delves into the analysis of the Gilson–Pickering equation which governs the waves propagation in plasma physics by invoking Lie symmetry analysis. We commence by identifying the Lie point symmetries associated with the equation.
Chaudry Masood Khalique, Anila Mehmood
doaj   +1 more source

Quiescent optical solitons in magneto–optic waveguides having Kudryashov's quintuple power–law of self–phase modulation

Ain Shams Engineering Journal
This paper investigates the propagation of quiescent optical solitons in magneto-optic waveguides governed by Kudryashov's quintuple power-law of self-phase modulation, incorporating generalized temporal evolution and nonlinear chromatic dispersion.
Elsayed M.E. Zayed, Mona El–Shater, Ahmed M. Elsherbeny, Ahmed H. Arnous, Anjan Biswas, Yakup Yildirim, Puiu Lucian Georgescu, Luminita Moraru, Anwar Ja'afar Mohamad Jawad, Layth Hussein   +9 more
doaj   +1 more source

Symmetry-based closed-form solutions and conserved quantities of the new (2+1)-dimensional Bogoyavlensky-Konopelchenko equation in fluid mechanics

Partial Differential Equations in Applied Mathematics
In this investigation, we explore the mathematical intricacies of the novel (2+1)-dimensional Bogoyavlensky-Konopelchenko equation, a model with practical applications in elucidating the dynamics of internal waves within deep water.
Mduduzi Yolane Thabo Lephoko, Chaudry Masood Khalique   +1 more
doaj   +1 more source

Conserved quantities, optimal system and explicit solutions of a (1 + 1)-dimensional generalised coupled mKdV-type system. [PDF]

J Adv Res, 2021
Khalique CM, Simbanefayi I.
europepmc   +1 more source

Analytic modeling of neural tissue: II. Nonlinear membrane dynamics. [PDF]

AIP Adv, 2022
Schwartz BL, Brown SM, Muthuswamy J, Sadleir RJ.   +3 more
europepmc   +1 more source

Horizons of Heparin Therapy in COVID-19 and Pandemic-Related Diseases. [PDF]

J Evol Biochem Physiol, 2022
Kondashevskaya MV.
europepmc   +1 more source