Results 81 to 90 of about 654 (181)

Non-integrable lattice equations supporting kink and soliton solutions

European Journal of Applied Mathematics, 2001
Nonintegrable differential-difference equations are constructed which support two-kink and two-soliton solutions. These equations are related to the discrete Burgers hierarchy and a discrete form of the Korteweg-de Vries equation. In particular, discretisations of equations related to the Fitzhugh-Nagumo-Kolmogorov-Petrovskii-Piskunov, Satsuma ...
Common, A. K., Musette, M.
openaire   +1 more source

Exploring the nonlinear behavior of solitary wave structure to the integrable Kairat-X equation

AIP Advances
This study presented various types of soliton solutions for the nonlinear integrable Kairat-X equation by utilizing the improved F-expansion technique with symbolic computational software Mathematica.
Maha Alammari, Mujahid Iqbal, Waqas Ali Faridi, Muhammad Amin S. Murad, Reem Algethamie, Faizah A. H. Alomari, Abdullah S. Alsubaie, Aly R. Seadawy, David Yaro   +8 more
doaj   +1 more source

∫ e−x2 dx and the Kink soliton

Computers & Mathematics with Applications, 1998
AbstractWe provide analytical functions approximating ∫ e−x2 dx, the basis of which is the kink soliton and which are both accurate (error < 0.2%) and simple. We demonstrate our results with some applications, particularly to the generation of Gaussian random fields.
openaire   +1 more source

Dynamical characteristics and physical structure of cusp-like singular solitons in birefringent fibers

Results in Physics
In this paper, we explore optical nonlinear waves in a birefringent fiber by investigating the dynamics of a coupled nonlinear Schrödinger system with four-wave mixing factors.
A. Muniyappan, K. Manikandan, Aly R. Seadawy, E. Parasuraman   +3 more
doaj   +1 more source

Chirped Soliton Perturbation and Benjamin–Feir Instability of Chen–Lee–Liu Equation with Full Nonlinearity

Mathematics
The objective of the present study is to detect chirped optical solitons of the perturbed Chen–Lee–Liu equation with full nonlinearity. By virtue of the traveling wave hypothesis, the discussed model is reduced to a simple form known as an elliptic ...
Khalil S. Al-Ghafri, Anjan Biswas
doaj   +1 more source

Solitary chirp pulses and soliton control for variable coefficients cubic–quintic nonlinear Schrödinger equation in nonuniform management system

Open Physics
This study investigates the variable coefficient cubic–quintic nonlinear Schrödinger equation, which models the propagation of ultrashort femtosecond pulses in optical fibers and three-body recombination losses in Bose–Einstein condensates.
El-Shiekh Rehab M., Gaballah Mahmoud
doaj   +1 more source

Similarity reduction, Bäcklund transformation and solitary waves for a generalized shallow water wave equation with the variable coefficients

Ain Shams Engineering Journal
In this paper, we have studied the generalized shallow water wave equation with variable coefficients which represent different wave phenomena as tidal waves, irrigation flows, tsunamis, storm surges, and atmospheric waves by using two different ...
Rehab M. El-Shiekh, Mahmoud Gaballah
doaj   +1 more source

87th Annual Meeting of the Meteoritical Society 2025: Abstracts

Meteoritics &Planetary Science, Volume 60, Issue S1, Page 30-350, August 2025.
wiley   +1 more source

Abundant Elliptic, Trigonometric, and Hyperbolic Stochastic Solutions for the Stochastic Wu–Zhang System in Quantum Mechanics

Mathematics
In this article, we look at the stochastic Wu–Zhang system (SWZS) forced by multiplicative Brownian motion in the Itô sense. The mapping method, which is an effective analytical method, is employed to investigate the exact wave solutions of the ...
Wael W. Mohammed, Ekram E. Ali, Athar I. Ahmed, Marwa Ennaceur   +3 more
doaj   +1 more source

The Error Function and The Kink Soliton

, 1996
15 pages, 5 eps figure, Latex2e. To appear in Letters in Applied Mathematics.
openaire   +2 more sources