Results 51 to 60 of about 295 (152)

Analytical and Numerical Soliton Solutions of the Shynaray II‐A Equation Using the G′G,1G$$ \left(\frac{G^{\prime }}{G},\frac{1}{G}\right) $$‐Expansion Method and Regularization‐Based Neural Networks

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT Nonlinear differential equations play a fundamental role in modeling complex physical phenomena across solid‐state physics, hydrodynamics, plasma physics, nonlinear optics, and biological systems. This study focuses on the Shynaray II‐A equation, a relatively less‐explored parametric nonlinear partial differential equation that describes ...
Aamir Farooq, H. W. A. Riaz, Sadique Rehman, M. Mamun Miah, Wen Xiu Ma   +4 more
wiley   +1 more source

Modulation instability analysis and optical solutions of an extended (2+1)-dimensional perturbed nonlinear Schrodinger equation [PDF]

, 2023
We examine an extended (2+1)-dimensional perturbed nonlinear Schrodinger equation with Kerr law nonlinearity in a nano-optical fiber with fourth-order spatial derivatives in this paper.
Ali, Karmina K., Ali, Mohamed R., Tarla, Sibel, Yusuf, Abdullahi   +3 more
core   +1 more source

Nonlinear Schrödinger equations with spatio-temporal dispersion in Kerr, parabolic, power and dual power law media: A novel extended Kudryashov’s algorithm and soliton solutions

Results in Physics, 2017
In this study, we perform the extended Kudryashov method to nonlinear Schrödinger equation (NLSE) with spatio-temporal dispersion that arises in a propagation of light in nonlinear optical fibers, planar waveguides, Bose–Einstein condensate theory.
Yakup Yıldırım, Nisa Çelik, Emrullah Yaşar   +2 more
doaj   +1 more source

Sequel to “cubic‐quartic optical soliton perturbation with complex Ginzburg–Landau equation by the enhanced Kudryashov's method”

IET Optoelectronics, 2022
This paper serves as a sequel to previously reported results on cubic‐quartic solitons with complex Ginzburg–Landau equation. This work is with various forms of power law nonlinearity that structures the self‐phase modulation.
Ahmed H. Arnous, Anjan Biswas, Abdul H. Kara, Daniela Milovic, Yakup Yıldırım, Hashim M. Alshehri   +5 more
doaj   +1 more source

Postural control in humans: a study using transcutaneous spinal cord stimulation

Experimental Physiology, EarlyView.
Abstract The aim of the study was to investigate the spinal mechanisms involved in regulating postural balance in humans. Participants stood in a normal stance, with their spinal postural networks either non‐invasively activated or not stimulated by electrical stimulation.
Natalia Shamantseva, Ivan Sakun, Tatiana Klishkovskaia, Andrey Aksenov, Vsevolod Lyakhovetskii, Tatiana Moshonkina   +5 more
wiley   +1 more source

Solitons in magneto-optic waveguides with Kudryashov’s law nonlinear refractive index for coupled system of generalized nonlinear Schrödinger’s equation using modified extended mapping method [PDF]

In this work, we investigate the optical solitons and other waves through magneto-optic waveguides with Kudryashov’s law of nonlinear refractive index in the presence of chromatic dispersion and Hamiltonian-type perturbation factors using the modified ...
Ahmed, Hamdy M., Ahmed, Karim K., Badra, Niveen M., Eslami, Mostafa, Hashemi, Mir Sajjad, Mirzazadeh, Mohammad, Rabie, Wafaa B.   +6 more
core   +3 more sources

On the exact solutions of nonlinear extended Fisher-Kolmogorov equation by using the He’s variational approach [PDF]

, 2022
: In this article, we investigate existence and the exact solutions of the extended FisherKolmogorov (EFK) equation. This equation is used in the population growth dynamics and wave propagation.
Alsallami, Shami Ali Mohammed, Baber, Muhammad Zafarullah, İnç, Mustafa, Iqbal, Muhammad Sajid, Nisar, Kottakkaran Sooppy, Tarar, Muhammad Akhtar   +5 more
core   +1 more source

Dynamical Optical Structure Solutions of the Time‐Fractional Chen‐Lee‐Liu Equation

Advances in Mathematical Physics, Volume 2026, Issue 1, 2026.
In this article, we utilize the conformable fractional (CF) derivative to investigate the analytically innovative soliton solutions for the time‐fractional nonlinear perturbed Chen‐Lee‐Liu (CLL) equation in optical fibers. An essential governing equation in nonlinear optics, the perturbed CLL model describes the propagation of ultrashort pulses in ...
Shah Muhammad, Abdul Saboor, Muhammad Shakeel, Hameed Gul Ahmadzai, Ivan Giorgio   +4 more
wiley   +1 more source

Optical solitons and modulation instability analysis to the quadratic-cubic nonlinear Schrödinger equation [PDF]

, 2018
This paper obtains the dark, bright, dark-bright, dark-singular optical and singular soliton solutions to the nonlinear Schrödinger equation with quadratic-cubic nonlinearity (QC-NLSE), which describes the propagation of solitons through optical fibers ...
Aliyu, Aliyu Isa, Baleanu, Dumitru, Inc, Mustafa, Yusuf, Abdullahi   +3 more
core   +2 more sources

On the solutions and conserved vectors for the two-dimensional second extended Calogero-Bogoyavlenskii-Schiff equation

Results in Physics, 2021
This paper studies the second extended Calogero-Bogoyavlenskii-Schiff (eCBS) equation in (2+1)–dimensions, which was proposed in the literature a short time ago.
Chaudry Masood Khalique, Anila Mehmood
doaj   +1 more source