Results 21 to 30 of about 5,576,387 (125)

Cubic-quartic optical solitons with Kudryashov’s law of refractive index by F-expansions schemes

Results in Physics, 2020
This work presents cubic-quartic optical soliton solutions to Kudryashov’s equation in polarization-preserving fibers. The integration is conducted with F-expansion scheme having four independent forms.
Gokhan Genc, Mehmet Ekici, Anjan Biswas, Milivoj R. Belic   +3 more
doaj   +1 more source

Highly dispersive optical solitons with cubic law and cubic-quintic-septic law nonlinearities

Results in Physics, 2020
In this paper, the Kudryashov’s method and generalized tanh method (GTM) are employed to retrieve the new distinct optical solitons for highly dispersive NLSE.
Naeem Ullah, Hamood Ur Rehman, M.A. Imran, T. Abdeljawad   +3 more
doaj   +1 more source

Conserved vectors and solutions of the two-dimensional potential KP equation

Open Physics, 2023
This article investigates the potential Kadomtsev–Petviashvili (pKP) equation, which describes the evolution of small-amplitude nonlinear long waves with slow transverse coordinate dependence.
Khalique Chaudry Masood, Lephoko Mduduzi Yolane Thabo   +1 more
doaj   +1 more source

Exact Solutions and Nonlinear Dynamical Behavior in a Navier‐Stokes‐Type Model for Elastic Cylindrical Vessels: An Analytical and Computational Approach

Engineering Reports, Volume 8, Issue 6, June 2026.
This study investigates a nonlinear Navier‐Stokes‐type model for elastic cylindrical vessels. Exact solutions are derived via the Bäcklund transformation and the ϕ6$$ {\phi}^6 $$‐expansion method, and dynamical behaviors are analyzed using bifurcation and chaos tools, revealing diverse wave structures and parameter‐dependent propagation characteristics.
Sheikh Zain Majid, Fatma Nur Kaya Sağlam, Mohammad Safi Ullah   +2 more
wiley   +1 more source

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

Franklin 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, Menas E. Eissa, Amr Elsonbaty, Kottakkaran Sooppy Nisar   +3 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, Volume 2026, Issue 1, 2026.
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 (FOD), self‐steepening (SS), and intrapulse Raman scattering (IRS) effects.
Alfred Dang A Mekoung, Nicodème Djiedeu, Jean Pierre Nguenang, Antonio Scarfone   +3 more
wiley   +1 more source

Numerical Simulations of Coupled Solitary Waves With Spatially Modulated Non‐Linearity

Advances in Mathematical Physics, Volume 2026, Issue 1, 2026.
This study investigates the dynamics of two coupled solitary waves propagating in media characterised by spatially modulated non‐linearity and variable dispersion. By employing numerical simulations of a system of coupled non‐linear Schrödinger equations (NLSEs) with varying coefficients, we analyse how inhomogeneous physical properties influence ...
Ngaka John Nchejane, Mabatho Thakedi, Shikha Binwal   +2 more
wiley   +1 more source

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

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

Dynamical Behavior and Chaotic Nature of M‐Fractional Paraxial Wave Equation With Three Analytical Methods

Advances in Mathematical Physics, Volume 2026, Issue 1, 2026.
This research work provides a comprehensive investigation of the M‐fractional paraxial wave equation (M‐fPWE) in describing complex optical phenomena in telecommunication systems and nonlinear media, focusing on the dynamical analysis of optical soliton solutions, the impact of M‐fractional parameters, stability, multistability, and the chaotic nature ...
Md. Mamunur Roshid, Mahtab Uddin, Mohammad Safi Ullah, Golam Mostafa, Ashek Ahmed, Shikha Binwal   +5 more
wiley   +1 more source

Impact of the Properties of Microstructured Solids on the Propagation of Hybrid Solitary Waves

International Journal of Differential Equations, Volume 2026, Issue 1, 2026.
Microstructured solids exhibit complex wave propagation dynamics due to the interplay between nonlinearity, dispersion, dissipation, and higher‐order spatiotemporal effects induced by their internal architecture. In this work, we investigate how these properties influence the propagation of hybrid solitary waves governed by a generalized strain‐wave ...
Stallon Mezezem Songna, Jean Roger Bogning, Francois Beceau Pelap, Elena Kaikina   +3 more
wiley   +1 more source