Results 81 to 90 of about 14,785 (196)

Exact solutions of the generalized nonlinear Fokas-Lennells equation

Results in Physics, 2019
Two different schemes are applied to the generalized nonlinear Fokas-Lennells equation for obtaining possible optical solitonic solutions at general orders of nonlinearities. It is known that the standard Kudryashov method leads to singular combo optical
A. Ebaid, E.R. El-Zahar, A.F. Aljohani, Bashir Salah, Mohammed Krid, J.T. Machado   +5 more
doaj   +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

Non-susy D3 brane and an interpolating solution between AdS$_5$ black hole, AdS$_5$ soliton and a `soft-wall' gravity solution

, 2015
It is known from the work in \cite{Lu:2007bu} of Lu et. al. that the non-supersymmetric charged D3-brane (with anisotropies in time as well as one of the spatial directions of D3-brane) of type IIB string theory is characterized by five independent ...
Roy, Shibaji
core   +1 more source

Interaction of Dirac δ$$ \delta $$‐Waves in the Inviscid Levine and Sleeman Chemotaxis Model

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT This article investigates interactions of δ$$ \delta $$‐shock waves in the inviscid Levine and Sleeman chemotaxis model ut−λ(uv)x=0$$ {u}_t-\lambda {(uv)}_x=0 $$, vt−ux=0$$ {v}_t-{u}_x=0 $$. The analysis employs a distributional product and a solution concept that extends the classical solution concept.
Adelino Paiva
wiley   +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

Soliton dynamics of the KdV–mKdV equation using three distinct exact methods in nonlinear phenomena

Nonlinear Engineering
The KdV–mKdV equation is investigated in this study. This equation is a useful tool to model many nonlinear phenomena in the fields of fluid dynamics, quantum mechanics, and soliton wave theory.
Ullah M. Atta, Rehan Kashif, Perveen Zahida, Sadaf Maasoomah, Akram Ghazala   +4 more
doaj   +1 more source

Electrospun conducting polymers: recent trends and the transition towards a sustainable future

Polymer International, EarlyView.
This review discusses the electrospinning of conducting polymers, detailing procedures, fibrous morphologies, improved properties, applications in electronics, and challenges, while outlining future directions for nanofibre‐based devices in various fields.
Xenofon Karagiorgis, Sofia Sandhu, Peter J. Skabara, Ravinder Dahiya   +3 more
wiley   +1 more source

On soliton solutions of the Wu-Zhang system

Open Physics, 2016
In this paper, the extended tanh and hirota methods are used to construct soliton solutions for the WuZhang (WZ) system. Singular solitary wave, periodic and multi soliton solutions of the WZ system are obtained.
Inc Mustafa, Kilic Bulent, Karatas Esra, Mohamed Al Qurashi Maysaa’, Baleanu Dumitru, Tchier Fairouz   +5 more
doaj   +1 more source

Small-amplitude excitations in a deformable discrete nonlinear Schroedinger equation

, 1996
A detailed analysis of the small-amplitude solutions of a deformed discrete nonlinear Schr\"{o}dinger equation is performed. For generic deformations the system possesses "singular" points which split the infinite chain in a number of independent ...
A. Chubykalo, A. Chubykalo, A.K. Common, B.L. Holian, B.L. Holian, D. Cai, D. Cai, D. Henning, D. Henning, I.T. Khabibulin, J. Hietarinta, L.D. Faddeev, M. Salerno, M. Salerno, M. Salerno, P. Poggi, V. V. Konotop, V.E. Vekslerchik, V.E. Vekslerchik, V.V. Konotop, V.V. Konotop, V.V. Konotop, V.Z. Enol'skii, Yu.S. Kivshar, Yu.S. Kivshar   +24 more
core   +1 more source

Degree theory for 4‐dimensional asymptotically conical gradient expanding solitons

Communications on Pure and Applied Mathematics, Volume 79, Issue 5, Page 1151-1298, May 2026.
Abstract We develop a new degree theory for 4‐dimensional, asymptotically conical gradient expanding solitons. Our theory implies the existence of gradient expanding solitons that are asymptotic to any given cone over S3$S^3$ with non‐negative scalar curvature. We also obtain a similar existence result for cones whose link is diffeomorphic to S3/Γ$S^3/\
Richard H. Bamler, Eric Chen
wiley   +1 more source