Results 61 to 70 of about 17,079 (203)

Multiple soliton solutions for a quasilinear Schrödinger equation

Indian Journal of Pure and Applied Mathematics, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liu, Jiayin, Liu, Duchao
openaire   +1 more source

Unveiling New Perspectives on the Hirota–Maccari System With Multiplicative White Noise

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this study, we delve into the stochastic Hirota–Maccari system, which is subjected to multiplicative noise according to the Itô sense. The stochastic Hirota–Maccari system is significant for its ability to accurately model how stochastic affects nonlinear wave propagation, providing valuable insights into complex systems like fluid dynamics
Mohamed E. M. Alngar, Khaled A. Gepreel, Reham M. A. Shohib, Yakup Yildirim   +3 more
wiley   +1 more source

Bifurcation, Chaotic, Sensitivity Analysis, and Optical Soliton Profiles for the Spin Hirota–Maxwell–Bloch Equation in an Erbium-Doped Fiber

Advances in Mathematical Physics
In this work, the reduced spin Hirota–Maxwell–Bloch (rsHMB) equation is examined analytically. This model is useful for characterizing the propagation of femtosecond pulses in an erbium-doped fiber.
Asma Taskeen, Muhammad Ozair Ahmed, Muhammad Zafarullah Baber, Baboucarr Ceesay, Nauman Ahmed   +4 more
doaj   +1 more source

New wave behaviors of the Fokas-Lenells model using three integration techniques.

PLoS ONE, 2023
In this investigation, we apply the improved Kudryashov, the novel Kudryashov, and the unified methods to demonstrate new wave behaviors of the Fokas-Lenells nonlinear waveform arising in birefringent fibers.
Mohammad Safi Ullah, Harun-Or Roshid, M Zulfikar Ali   +2 more
doaj   +1 more source

Scalar Solitons on the Fuzzy Sphere

, 2002
We study scalar solitons on the fuzzy sphere at arbitrary radius and noncommutativity. We prove that no solitons exist if the radius is below a certain value.
A. Perelomov, B. Durhuus, B.P. Dolan, B.P. Dolan, C.G. Zhou, C.S. Chu, D.J. Gross, D.P. Jatkar, F.A.Berezin, G.H. Derrick, H. Grosse, J. Madore, J.A. Harvey, J.A. Harvey, L. Hadasz, Larus Thorlacius, M. Aganagic, M. Spradlin, M.G. Jackson, Peter Austing, R. Gopakumar, R. Gopakumar, R.J. Szabo, S. Vaidya, Thordur Jonsson, U. Lindstrom, Y. Kimura   +26 more
core   +1 more source

The (2+1) and (3+1)-Dimensional CBS Equations: Multiple Soliton Solutions and Multiple Singular Soliton Solutions

Zeitschrift für Naturforschung A, 2010
In this work, the generalized (2+1) and (3+1)-dimensional Calogero-Bogoyavlenskii-Schiff equations are studied. We employ the Cole-Hopf transformation and the Hirota bilinear method to derive multiple-soliton solutions and multiple singular soliton solutions for these equations.
openaire   +1 more source

Analytical and Numerical Soliton Solutions of the Shynaray II‐A Equation Using the G′G,1G$$ \left(\frac{G^{\prime }}{G},\frac{1}{G}\right) $$‐Expansion Method and Regularization‐Based Neural Networks

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT Nonlinear differential equations play a fundamental role in modeling complex physical phenomena across solid‐state physics, hydrodynamics, plasma physics, nonlinear optics, and biological systems. This study focuses on the Shynaray II‐A equation, a relatively less‐explored parametric nonlinear partial differential equation that describes ...
Aamir Farooq, H. W. A. Riaz, Sadique Rehman, M. Mamun Miah, Wen Xiu Ma   +4 more
wiley   +1 more source

A dynamical behavior of the coupled Broer-Kaup-Kupershmidt equation using two efficient analytical techniques.

PLoS ONE
The aim of the present study is to identify multiple soliton solutions to the nonlinear coupled Broer-Kaup-Kupershmidt (BKK) system, including beta, conformable, local-fractional, and M-truncated derivatives.
Rimsha Ansar, Muhammad Abbas, Homan Emadifar, Tahir Nazir, Ahmed S M Alzaidi   +4 more
doaj   +1 more source

New solitary wave and multiple soliton solutions for fifth order nonlinear evolution equation with time variable coefficients

Results in Physics, 2018
In this paper, we investigate the multiple soliton solutions and multiple singular soliton solutions of a class of the fifth order nonlinear evolution equation with variable coefficients of t using the simplified bilinear method based on a transformation
H.M. Jaradat, Muhammed Syam, M. Jaradat, Zead Mustafa, S. Momani   +4 more
doaj   +1 more source

Observation of asymmetric solitons in waveguide arrays with refractive index gradient

, 2014
We study light propagation in waveguide arrays made in Kerr nonlinear media with a transverse refractive index gradient, and we find that the presence of the refractive index gradient leads to the appearance of a number of new soliton families.
Kartashov, Yaroslav V., Szameit, Alexander, Torner, Lluis, Vysloukh, Victor A., Weimann, Steffen   +4 more
core   +1 more source