Results 121 to 130 of about 47,915 (224)

Fractional and Integrable Perspectives on a Variable-Coefficient Semi-Discrete NLS Equation: Analytical Method and Engineering Applications

Fractal and Fractional
The method of deriving fractional-order differential equations using Riesz fractional-order calculus is a new breakthrough, and it is possible to use the inverse scattering transform (IST) to solve the analytical solutions of the derived equations ...
Sen Zhao, Sheng Zhang, Bo Xu
doaj   +1 more source

Quantum backreaction effect in optical solitons

New Journal of Physics
Optical solitons classically are stationary solutions of the nonlinear Schrödinger equation. We perform a quantum field theoretic treatment by quantising a linearised fluctuation field around the classical soliton solution which can be seen as providing ...
Sang-Shin Baak, Friedrich König
doaj   +1 more source

Exact Soliton Solutions to the Variable-Coefficient Korteweg–de Vries System with Cubic–Quintic Nonlinearity

Mathematics
In this manuscript, we investigate the (2+1)-dimensional variable-coefficient Korteweg–de Vries (KdV) system with cubic–quintic nonlinearity. Based on different methods, we also obtain different solutions.
Hongcai Ma, Xinru Qi, Aiping Deng
doaj   +1 more source

Analytical soliton solutions of the Kairat-Ⅱ equation using the Kumar–Malik and extended hyperbolic function methods

AIMS Mathematics
The study of optical solitons has advanced significantly due to their stability and diverse applications, particularly in high-speed telecommunications, optical signal processing, and quantum technologies.
Abdul Mateen, Ghulam Hussain Tipu, Loredana Ciurdariu, Fengping Yao   +3 more
doaj   +1 more source

Soliton solution and conservation laws of the Zakharov equation in plasmas with power law nonlinearity

Nonlinear Analysis, 2013
This paper studies the Zakharov equation with power law nonlinearity. The traveling wave hypothesis is applied to obtain the 1-soliton solution of this equation.
Richard Morris, Abdul Hamid Kara, Anjan Biswas   +2 more
doaj  

Bifurcation analysis and dynamical behavior of novel optical soliton solution of chiral (2 + 1) dimensional nonlinear Schrodinger equation in telecommunication system. [PDF]

Sci Rep
Saber H, Roshid MM, Bouye M, Muhyi A, Moumen A, Aldwoah K.   +5 more
europepmc   +1 more source

Noval soliton solution, sensitivity and stability analysis to the fractional gKdV-ZK equation. [PDF]

Sci Rep
Shakeel M, Zafar A, Alameri A, Junaid U Rehman M, Awrejcewicz J, Umer M, Zahid M, Sooppy Nisar K.   +7 more
europepmc   +1 more source

Investigation of closed form solitons for the stochastic Chavy-Waddy-Kolokolnikov equation in bacterial aggregation. [PDF]

Sci Rep
Nawaz S, Ahmad MO, Ahmed N, Njie T, Baber MZ.   +4 more
europepmc   +1 more source

Soliton dynamics and stability of equilibrium points of the Manakov equation. [PDF]

Sci Rep
Rahaman MS, Islam MN, Ullah MS.
europepmc   +1 more source

Dynamics of kink solitons under additive white noise in the power-law nonlinear Schrödinger equation. [PDF]

Sci Rep
Alsatami KA.
europepmc   +1 more source