Results 41 to 50 of about 250 (116)
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 +3 more
core +2 more sources
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 +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 +1 more
doaj +1 more source
Novel soliton solutions to the Atangana-Baleanu fractional system of equations for the ISALWs [PDF]
, 2022 This work deals the construction of novel soliton solutions to the Atangana-Baleanu (AB) fractional system of equations for the ion sound and Langmuir waves by using Sardar-subequation method (SSM).
Asjad Muhammad Imran +3 more
core +1 more source
A Lie group treatment on a generalized evolution Fisher type equation with variable coefficients [PDF]
, 2023 In this study, a general second-order evolution equation of the Fisher-type, with time-dependent variable coefficients, is considered. This equation contains many well-known equations, and obtained results may be applicable in investigating other ...
Hashemi, Mir Sajjad +2 more
core +1 more source
Journal of Mathematics, Volume 2026, Issue 1, 2026.This study presents the dynamic analysis of stochastic fractional unstable nonlinear Schrödinger equation (SFuNLSE), focusing on the analysis of bifurcation, chaotic nature, return map, recurrence plots, strange attractor, basin attractor, power spectrum, chaotic nature and also finds the exact optical soliton solution with multiplicative noise ...
Md. Mamunur Roshid +3 more
wiley +1 more source
Exploring the Chavy–Waddy–Kolokolnikov Model: Analytical Study via Recently Developed Techniques
Journal of Mathematics, Volume 2026, Issue 1, 2026.This work explores the analytical soliton solutions to the Chavy–Waddy–Kolokolnikov equation (CWKE), which is a well‐known equation in biology that shows how light‐attracted bacteria move together. This equation is very useful for analyzing pattern creation, instability regimes, and minor changes in linear situations since bacterial movement is very ...
Jan Muhammad +3 more
wiley +1 more source
Franklin OpenThis 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
Journal of Mathematics, Volume 2026, Issue 1, 2026.In this study, the nonlinear partial differential equation that governs the free vibration of a carbon nanotube composite beam is analytically investigated using the truncated M‐fractional derivative. This model is a beam supported by a nonlinear viscoelastic base and reinforced by carbon nanotubes.
Nadia Javed +7 more
wiley +1 more source
Optical solitons and conservation laws for the concatenation model: Power–law nonlinearity
Ain Shams Engineering JournalBy 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 +7 more
doaj +1 more source