Results 51 to 60 of about 79 (75)

Emergence of periodic soliton patterns in the time-fractional Hodgkin–Huxley model arising in modern neuroscience

Scientific Reports
The time-fractional Hodgkin-Huxley Model (tfHHM) with Katugampola Fractional Derivatives (KFDs) is the main subject of the current study. This model was developed in modern neuroscience that imitate the way action potentials move along the giant axon in ...
Yousef Jawarneh, Safyan Mukhtar, Safiqul Islam, Yaouba Amadou   +3 more
doaj   +1 more source

Diversity of solitary wave structures in Kerr media: Analyzing the complex paraxial wave equation in fiber optic communication systems

Ain Shams Engineering Journal
This study explores the paraxial nonlinear Schrödinger equation in Kerr media, a key model for optical fiber systems. Complex wave transformations reduce the model to a nonlinear ODE, enabling the generation of diverse solutions: bright, dark, bright ...
U. Younas, J. Muhammad, H.F. Ismael, Tukur Abdulkadir Sulaiman, Homan Emadifar, Karim K. Ahmed   +5 more
doaj   +1 more source

Diverse soliton solutions for nonlinear higher-order Sasa-Satsuma equation with its dynamical analysis

Boundary Value Problems
The paper focuses on the nonlinear Sasa-Satsuma equation, which describes the propagation of ultra-short pulses in single-mode fibres and accounts for third-order dispersion, self-steepening, and stimulated scattering.
Karim K. Ahmed, Sheikh Zain Majid, Muhammad Imran Asjad, Marei S. Alqarni, Taha Radwan   +4 more
doaj   +1 more source

Impact of Brownian motion on the optical soliton solutions for the three component nonlinear Schrödinger equation

Scientific Reports
In this manuscript, the three-component nonlinear stochastic Schrö dinger equation under the effects of Brownian motion in the Stratonovich sense is examined here.
Muhammad Zafarullah Baber, Tahir Shahzad, Wael W. Mohammed, Nauman Ahmed, Baboucarr Ceesay, Muhammad Waqas Yasin   +5 more
doaj   +1 more source

Optical Soliton Solutions and Modulation Instability of the Higher-Order Complex Cubic-Quintic Ginzburg–Landau Equation

Advances in Mathematical Physics
The propagation of ultrashort optical pulses in nonlinear dissipative media is investigated through a generalized higher-order cubic–quintic complex Ginzburg–Landau equation (HG CQ-CGLE) incorporating third-order dispersion (TOD), fourth-order dispersion
Alfred Dang A Mekoung, Nicodème Djiedeu, Jean Pierre Nguenang   +2 more
doaj   +1 more source

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Bright, dark and hybrid multistrip optical soliton solutions of a non-linear Schrödinger equation using modified extended tanh technique with new Riccati solutions

Optical and Quantum Electronics, 2023
This paper focus on new optical soliton solutions of a nonlinear Schrodinger equation with self-frequency shift , and kerr nonlinearity terms. We utilize the extended version of modified tanh expansion technique associated with new Riccati solutions. We extract optical soliton solutions such as dark and bright optical solitons, breathers type, periodic
Ahmad, Shafiq, Salman, Ullah, Aman, Ahmad, Shabir, Akgul, Ali   +4 more
openaire   +2 more sources

Riccati technique and oscillation constant for modified Euler type half-linear equations

Publicationes Mathematicae Debrecen, 2020
Studovany jsou pololinearni diferencialni rovnice se skalarnim libovolně daným p-laplasianem. Je znamo, že tyto rovnice jsou podminěně oscilatoricke pro jiste koeficienty. Podminěna oscilace pro jiste nekonstatni koeficienty byla dokazana pomoci Pruferova uhlu. Pomoci nove modifikace Riccatiho metody (tj. pomoci rozdilneho přistupu) jsou identifikovany
Petr Hasil, Jaroslav Jaros, Michal Vesely   +2 more
openaire   +1 more source

Riccati Technique and Oscillation of Linear Second-Order Difference Equations

Archiv Der Mathematik, 2021
Michal Veselý, Petr Hasil
exaly  

Modified Algebraic Riccati Equation Closed-Form Stabilizing Solution

IEEE Access, 2021
Alejandro José ROJAS NORMAN
exaly  

Modified AKNS Model, Riccati-Type Pseudo-Potential Approach and Infinite Towers of Quasi-Conservation Laws

International Journal of Modern Physics B, 2022
Harold Blas
exaly