Results 51 to 60 of about 6,339 (163)

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

Exploring the chaotic structure and soliton solutions for (3 + 1)-dimensional generalized Kadomtsev–Petviashvili model

Scientific Reports
The study of the Kadomtsev–Petviashvili (KP) model is widely used for simulating several scientific phenomena, including the evolution of water wave surfaces, the processes of soliton diffusion, and the electromagnetic field of transmission.
Muhammad Nadeem, Ding Jingxia, Kalim U. Tariq, Yahya Alsayaad   +3 more
doaj   +1 more source

Traveling Wave Solutions and Conservation Laws of a Generalized Chaffee–Infante Equation in (1+3) Dimensions

Universe, 2023
This paper aims to analyze a generalized Chaffee–Infante equation with power-law nonlinearity in (1+3) dimensions. Ansatz methods are utilized to provide topological and non-topological soliton solutions.
Motshidisi Charity Sebogodi, Ben Muatjetjeja, Abdullahi Rashid Adem   +2 more
doaj   +1 more source

Higher-order corrections to the short-pulse equation

, 2012
Using renormalization group techniques, we derive an extended short- pulse equation as approximation to a nonlinear wave equation. We investigate the new equation numerically and show that the new equation captures efficiently higher- order effects on ...
Agrawal G P, Chung Y, Costanzino N, Erbas K, Kurt L, Levent Kurt, Sakovich A, Sakovich A, Sulem C, Tobias Schäfer, Weiner A M, Yeojin Chung, Zakharov V E   +12 more
core   +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

The Partonic Nature of Instantons

, 2009
In both Yang-Mills theories and sigma models, instantons are endowed with degrees of freedom associated to their scale size and orientation. It has long been conjectured that these degrees of freedom have a dual interpretation as the positions of ...
A.R. Zhitnitsky, A.S. Gorsky, Benjamin Collie, D. Gaiotto, D. Gaiotto, D. Harland, David Tong, J.A. Harvey, M. Aganagic, M. Eto ., M.-Y. Choi, N. Arkani-Hamed, S. Kim, V. Borokhov, W. Brendel   +14 more
core   +3 more sources

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

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

Gravitating $\sigma$ Model Solitons

, 1998
We study axially symmetric static solitons of O(3) nonlinear $\sigma$ model coupled to (2+1)-dimensional anti-de Sitter gravity. The obtained solutions are not self-dual under static metric. The usual regular topological lump solution cannot form a black
A. A. Belavin, A. Achucarro, A. Comtet, A. G. Cohen, A. Staruszkiewicz, A. Vilenkin, A. Vilenkin, B. Linet, C. Kim, D. Garfinkle, D. Harari, E. Witten, F. A. Bais, G. Clement, G. Clement, G. Clément, G. T. Horowitz, G. W. Gibbons, G. W. Gibbons, I. Ichinose, J. D. Brown, J. D. Brown, J. Gott, J. R. Gott III, J. S. F. Chan, K. Arthur, K. C. K. Chan, K. C. K. Chan, K. Ghoroku, K. Kimm, K. Lee, K. Lee, K. Maeda, K. S. Thorne, M. B. Hindmarsh, M. Bañados, M. Bañados, M. E. Ortiz, M. E. Ortiz, M. Natsuume, N. Kaloper, N. Kim, N. Kim, P. Breitenlohner, P. C. Aichelburg, P. Laguna, R. A. Leese, R. Bartnik, R. Gregory, R. L. Davis, S. Carlip, S. Carlip, S. Deser, S. Deser, S. Giddings, S. Hyun, Sei-Hoon Moon, T. Tachizawa, W. Hiscock, Y. Kim, Y. M. Cho, Y. Yang, Yoonbai Kim   +62 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