A variety of new traveling and localized solitary wave solutions of a nonlinear model describing the nonlinear low-pass electrical transmission lines

S El-Ganaini, H Kumar - Chaos, Solitons & Fractals, 2020 - Elsevier
In this work, we focus on investigating the traveling and other localized solitary wave
propagation in nonlinear low-pass electrical transmission lines model practicing the new …

Formation of solitons with shape changing for a generalized nonlinear Schrödinger equation in an optical fiber

A Muniyappan, E Parasuraman, AR Seadawy… - Optical and Quantum …, 2024 - Springer
In optical fibers, the generalized nonlinear Schrödinger equations with self-steepening (SS),
self-frequency shift (SFS), intermodal dispersion (IMD), and third-order dispersion (TOD) …

Types of solutions of the variable-coefficient nonlinear Schrödinger equation with symbolic computation

WJ Liu, B Tian, HQ Zhang - Physical Review E—Statistical, Nonlinear, and Soft …, 2008 - APS
By using Hirota's bilinear method and symbolic computation, solutions for a variable-
coefficient nonlinear Schrödinger equation are obtained theoretically. It is found that the type …

Nonautonomous matter waves in a waveguide

Z Yan, XF Zhang, WM Liu - Physical Review A—Atomic, Molecular, and Optical …, 2011 - APS
We present a physical model that describes the transport of Bose-Einstein-condensed atoms
from a reservoir to a waveguide. By using the similarity and Möbius transformations, we …

Traveling and localized solitary wave solutions of the nonlinear electrical transmission line model equation

H Kumar, S El-Ganaini - The European Physical Journal Plus, 2020 - Springer
Analytical solutions describing the kink–antikink type, hyperbolic, trigonometric, doubly
periodic, localized bright and dark soliton like, breather and rational periodic train solutions …

A variety of new soliton structures and various dynamical behaviors of a discrete electrical lattice with nonlinear dispersion via variety of analytical architectures

S El‐Ganaini, H Kumar - Mathematical Methods in the Applied …, 2023 - Wiley Online Library
Nonlinear electrical lattices are powerful experimental tool for studying nonlinear dispersive
media and creating opportunities for the realistic modeling of electrical solitons. In this work …

Soliton solutions of driven nonlinear Schrödinger equation

VM Vyas, TS Raju, CN Kumar… - Journal of Physics A …, 2006 - iopscience.iop.org
We analyse the structure of the exact, dark and bright soliton solutions of the driven
nonlinear Schrödinger equation. A wide class of solutions, phase locked with the source, is …

Controlling temporal solitary waves in the generalized inhomogeneous coupled nonlinear Schrödinger equations with varying source terms

Y Yang, Z Yan, D Mihalache - Journal of Mathematical Physics, 2015 - pubs.aip.org
In this paper, we study the families of solitary-wave solutions to the inhomogeneous coupled
nonlinear Schrödinger equations with space-and time-modulated coefficients and source …

Soliton wave parameter estimation with the help of artificial neural network by using the experimental data carried out on the nonlinear transmission line

A Aksoy, S Yenikaya - Chaos, Solitons & Fractals, 2023 - Elsevier
In this study, an artificial neural network (ANN) model is generated, which is used to estimate
the output parameters of soliton waves produced as a result of nonlinear transmission lines …

Optical similaritons in a tapered graded-index nonlinear-fiber amplifier with an external source

TS Raju, PK Panigrahi - Physical Review A—Atomic, Molecular, and Optical …, 2011 - APS
We analytically explore a wide class of optical similariton solutions to the nonlinear
Schrödinger equation appropriately modified to model beam propagation in a tapered …