Results 101 to 110 of about 295 (152)

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

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

Dynamics of diverse nonlinear water waves to a fifth-order nonlinear soliton model [PDF]

The objective of this study is to examine the dynamic behavior of the fifth-order nonlinear equation(FONLE) and its practical application in the field of applied mathematics.
Shakeel, Muhammad
core   +2 more sources

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

Optical soliton solutions of the stochastic resonant nonlinear Schrödinger equation with spatio temporal and inter-modal dispersion under generalized Kudryashov's law non-linearity

Ain Shams Engineering Journal
This article investigates optical soliton solutions within the stochastic resonant nonlinear Schrödinger equation (SRNLSE). This equation incorporates both spatio-temporal dispersion (STD) and inter-modal dispersion (IMD), along with multiplicative white
Nafissa T. Trouba, Mohamed E.M. Alngar, Haitham A. Mahmoud, Reham M.A. Shohib   +3 more
doaj   +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

Dynamical behaviors of solitons for NLSE with Kudryashov’s sextic power-law of nonlinear refractive index using improved modified extended tanh-function method

Ain Shams Engineering Journal
The higher order nonlinear Schrödinger equation (NLSE) describes ultrashort pulse propagation in optical fibres. In this paper, we discuss analytically the non-linear schrödinger equation with higher order dispersion terms up to sixth order and sextic ...
Islam Samir, Hamdy M. Ahmed, Adel Darwish, Hisham H. Hussein   +3 more
doaj   +1 more source