Results 71 to 80 of about 250 (116)

Exact solutions to a family of position‐dependent mass damped oscillators from variational λ‐symmetries

Mathematical Methods in the Applied Sciences, Volume 47, Issue 2, Page 891-906, 30 January 2024.
A wide family of position‐dependent mass damped oscillators affected by an external potential is investigated. First, a Lagrangian formulation is introduced for the corresponding problem. The Lagrangian function is time‐dependent, and the problem cannot be approached with classical procedures because it lacks variational symmetries.
Adrián Ruiz Serván, María Concepción Muriel Patino   +1 more
wiley   +1 more source

Investigating the potential of optical metamaterials with highly dispersive solitons in twin couplers with stochastic perturbations and white noise effects

Ain Shams Engineering Journal
This study emphasizes a unique contribution as we investigate the dimensionless version of the perturbed stochastic NLSE within an optical metamaterial-designed coupler.
Elsayed M.E. Zayed, Mahmoud M. El-Horbaty, Mona El-Shater, Ahmed H. Arnous, Aydin Secer, Muslum Ozisik, Mustafa Bayram, Ahmed M. Elsherbeny   +7 more
doaj   +1 more source

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

Advances in Mathematical Physics, Volume 2024, Issue 1, 2024.
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 method.
Kang-Jia Wang, Manuel De León
wiley   +1 more source

Extraction of Optical Solitons for Conformable Perturbed Gerdjikov–Ivanov Equation via Two Integrating Techniques

Advances in Mathematical Physics, Volume 2024, Issue 1, 2024.
The perturbed Gerdjikov–Ivanov equation has immersed applications and significance in photonic crystal fibers and fiber optics. Extracting soliton solutions of the proposed equation has always been a challenging task for researchers. In this article, soliton solutions of governing equation are formed by using two very good and reliable analytical ...
Miguel Vivas-Cortez, Maasoomah Sadaf, Saima Arshed, Kashif Rehan, Ghazala Akram, Komal Saeed, Sergey Shmarev   +6 more
wiley   +1 more source

Higher Dimensional Kadomtsev–Petviashvili Equation: New Collision Phenomena

Advances in Mathematical Physics, Volume 2024, Issue 1, 2024.
This article analyzes the dynamics of waves to a new higher dimensional Kadomtsev−Petviashvili equation. The higher dimensional Kadomtsev−Petviashvili equation and its expansions have attracted a great deal of scientific interest during the past few decades.
Hajar F. Ismael, Usman Younas, Tukur Abdulkadir Sulaiman, Muhammad Amin S. Murad, Nehad Ali Shah, Shams Forruque Ahmed, Leopoldo Greco   +6 more
wiley   +1 more source

Boussinesq‐Like Equations: A Class of Soliton Solutions Occurs in Coastal and Ocean Engineering

Journal of Mathematics, Volume 2024, Issue 1, 2024.
The Boussinesq equation describes water with small amplitudes and long waves, which is one of the most famous nonlinear evolution equations. Boussinesq‐type equations have become crucial for predicting wave transformations in coastal areas since dispersion, time dependence, and weak nonlinearity terms are included in the equation.
Dilara A. Koç, Hajar F. Ismael, Hasan Bulut, Nehad Ali Shah, Shams Forruque Ahmed, Erhan Güler   +5 more
wiley   +1 more source

Abundant solitons for highly dispersive nonlinear Schrödinger equation with sextic-power law refractive index using modified extended direct algebraic method

Alexandria Engineering Journal
In this paper, we investigate soliton solutions and other exact solutions of the highly dispersive perturbed nonlinear Schrödinger equation having Kudryashov's arbitrary form with sextic-power law of refractive index and generalized non-local laws ...
Wafaa B. Rabie, Hisham H. Hussein, Hamdy M. Ahmed, Mahmoud Alnahhass, Wassim Alexan   +4 more
doaj   +1 more source

Boundary value problem of Riemann-Liouville fractional differential equations in the variable exponent Lebesgue spaces Lp(.) [PDF]

This manuscript deals with the existence, uniqueness and stability of solutions to the boundary value problem (BVP) of Riemann-Liouville (RL) fractional differential equations (FDEs) in the variable exponent Lebesgue spaces (Lp(.)).
Hashemi, Mir Sajjad, İnç, Mustafa, Refice, Ahmed, Souid, Mohammed Said   +3 more
core   +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

Wave structures and chaotic behaviors of perturbed nonlinear Biswas-Milovic equation with Kudryashov’s law of refractive index

Frontiers in Physics
Nonlinear partial differential equations provide a fundamental mathematical framework for understanding the real world. This study presents a comprehensive analysis of perturbed nonlinear Biswas-Milovic equation with Kudryashov’s law of refractive index.
Yuxi Zhang
doaj   +1 more source