Results 101 to 110 of about 14,785 (196)

Optical soliton solutions of the time-fractional Schrödinger equation with cubic-quintic-septic-nonic nonlinearity: An analytical approach

open access: yesResults in Engineering
In this study, the extended sinh-Gordon expansion method is used to investigate the exact soliton solutions to the time-fractional nonlinear Schrödinger equation with self-phase modulation, integrating cubic, quintic, septic, and nonic nonlinearities ...
Nazia Parvin   +2 more
doaj   +1 more source

Two-sided NED black-hole, naked-singularity, and soliton solutions

open access: yesThe European Physical Journal C
Abstract We consider non-linear electrodynamics (NED) minimally coupled to general relativity. We derive novel electrically charged, spherically symmetric, black-hole solutions having, for some set of parameters, all their NED fields (the electric field and the square of the electromagnetic field) regular for all values of the radial ...
openaire   +3 more sources

Dirac solitons in general relativity : many-fermion states, singular solutions & the inclusion of a Higgs mechanism

open access: yes, 2022
The study of gravitationally localised quantum states, in which quantum particles are bound together by their mutual gravitational interaction, has been a topic of considerable research for over 50 years. Stemming from John Wheeler's initial concept of an electromagnetic 'geon', focus quickly converged on scalar fields with the introduction of the ...
openaire   +3 more sources

The fractional soliton solutions of dynamical system arising in plasma physics: The comparative analysis

open access: yesAlexandria Engineering Journal
In light of fractional theory, this paper presents several new effective solitonic formulations for the Langmuir and ion sound wave equations. Prior to this study, no previous research has presented the comparision and obtained the generalized fractional
Waqas Ali Faridi   +4 more
doaj   +1 more source

Bright and Singular Soliton Solutions of Tzitzéica Type Equations Appear in Nonlinear Optics

open access: yes, 2019
We investigate the exact travelling wave solutions of the Tzitzéica-Dodd–Bullough–Mikhailov (TDBM) and Tzitzéica-type (TT) equations, appear in nonlinear optics, using simple ansatz approach. We use the Painlevé and traveling wave transformations to convert the mentioned nonlinear equations into ...
Asim Zafar   +3 more
openaire   +2 more sources

Optical solitons solution for the perturbed nonlinear Schrödinger’s equation

open access: yesPartial Differential Equations in Applied Mathematics
In this manuscript, the perturbed nonlinear Schrödinger’s equation (PNLSE) is considered, which has many implications in various fields such as ferromagnetic material, nonlinear optics, and optical fibers.
Nasir Ullah   +3 more
doaj   +1 more source

Exploring multiple and singular soliton solutions for negative-order space-time fractional mKdV equations

open access: yesThermal Science
This study on the negative-order fractional space-time modified KdV (nfmKdV) equation provides a comprehensive analysis of how fractional differentials affect the dynamics of solitons in non-linear wave models. We are referring to introduces the nfmKdV equation, a significant extension of the traditional KdV equation, which is commonly used
Sulima Zubair   +5 more
openaire   +1 more source

Optical soliton solutions for a generalized nonlocal nonlinear Schrödinger-type equation with Kudryashov-like refractive index law

open access: yesFranklin Open
This study explores a perturbed nonlinear optical system governed by Kudryashov’s law with an arbitrary refractive index to derive novel optical soliton solutions.
Entsar El-Shazly   +3 more
doaj   +1 more source

Exploring Novel Soliton Solutions to the Time-Fractional Coupled Drinfel’d–Sokolov–Wilson Equation in Industrial Engineering Using Two Efficient Techniques

open access: yesFractal and Fractional
The time-fractional coupled Drinfel’d–Sokolov–Wilson (DSW) equation is pivotal in soliton theory, especially for water wave mechanics. Its precise description of soliton phenomena in dispersive water waves makes it widely applicable in fluid dynamics and
Md Nur Hossain   +4 more
doaj   +1 more source

The Perturbed Chen–Lee–Liu Equation: Diverse Optical Soliton Solutions and Other Wave Solutions

open access: yesAdvances in Mathematical Physics
The objective of the present study is to extract the optical soliton solutions (OSSs) of the perturbed Chen–Lee–Liu equation by exerting three techniques, which are the extended Wang’s direct mapping method, tanh/coth function method and the Subequation ...
Kang-Jia Wang
doaj   +1 more source

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