Results 91 to 100 of about 11,580,339 (146)

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

Optical solitons and conservation laws for the concatenation model: Power–law nonlinearity

By investigating the concatenation model that incorporates a power-law nonlinearity, this paper provides an in-depth analysis, and the soliton solutions are derived.
Simona Moldovanu, Abdulah A. Alghamdi, Catalina Iticescu, Ahmed H. Arnous, Luminita Moraru, Yakup Yıldırım, Abdul H. Kara, Anjan Biswas   +7 more
core   +1 more source

Investigating the effects of multiplicative white noise on solitons in birefringent fibers through the perturbed Kundu-Eckhaus equation with high dispersion

The study of highly dispersive optical solitons in birefringent fibers is crucial for advancing high-speed optical communication and nonlinear fiber optics.
Hashemi, Mir Sajjad, Arnous, Ahmed H., Zayed, Elsayed M. E., BAYRAM, Mustafa, El-Horbaty, Mahmoud, ÖZIŞIK, Müslüm, Gepreel, Khaled A., SEÇER, Aydın   +7 more
core   +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

Quiescent Optical Solitons for Radhakrishnan-Kundu-Lakshmanan Equation with Linear Temporal Evolution

This study explores novel quiescent optical soliton solutions to the Radhakrishnan-Kundu-Lakshmanan (RKL) equation, a significant model in nonlinear optics. Utilizing three distinct analytical methods, which are the modified extended Tanh-function method,
Sıvakcı, Şebnem Gökdeniz, Biswas, Anjan, Yildirim, Yakup, SEÇER, Aydın   +3 more
core   +1 more source

Stochastic perturbed Fokas‑Lenells equation having the polynomial law of self‑phase modulation in the presence of spatio‑temporal dispersion

The stochastic perturbed Fokas-Lenells equation having cubic-quintic-septic law of self-phase modulation in the presence of spatio-temporal dispersion is considered in this manuscript.
BAYRAM, Mustafa, ÖZIŞIK, Müslüm, ESEN, Handenur, SEÇER, Aydın   +3 more
core   +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

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

Concatenation model: having the parabolic law in the presence of chromatic and spatio-temporal dispersion and investigation of multiplicative white noise effect via Itô calculus

This manuscript focuses on the stochastic optical soliton solution of the concatenation model having the parabolic law with chromatic and spatio-temporal dispersions.
BAYRAM, Mustafa, ÖZIŞIK, Müslüm, ESEN, Handenur, SEÇER, Aydın, Secer, Aydin   +4 more
core   +1 more source