Results 61 to 70 of about 17,084 (205)

Full reversal symmetric multiple soliton solutions for integrable systems

Acta Physica Sinica, 2020
Multiple soliton solutions are fundamental excitations. There are many kinds of equivalent representations for multiple soliton solutions such as the Hirota forms, Wronskian and/or double Wronskian expressions and Phaffian representations. Recently, in the studies of multi-place nonlocal systems, we find that there are a type of novel but equivalent ...
openaire   +1 more source

From Evidence to Practice: Implementation and Evaluation of the Discontinuation of Patient Contact Shielding in Paediatric Radiography

Journal of Medical Radiation Sciences, EarlyView.
This implementation science study evaluated the removal of patient contact shielding in paediatric radiography at a quaternary Australian hospital. Guided by the COM‐B model and Theoretical Domains Framework, the policy change was implemented with minimal disruption. Fewer than 0.5% of families raised any concerns, demonstrating that even long‐standing
Elaine Ryan, Kerrie Norynberg, Patricia Connor, Deborah Sinclair, Tristan Reddan   +4 more
wiley   +1 more source

Observation of Linear and Nonlinear Light Trapping on Topological Dislocations

Laser &Photonics Reviews, EarlyView.
Topological dislocations are global lattice defects found in various systems ranging from crystals to photonic lattices. This work reports the first observation at optical frequencies of linear modes with tunable localization bound to edge dislocations and their nonlinear counterparts ‐ dislocation solitons. These results reveal an intriguing interplay
S. K. Ivanov, A. V. Kireev, K. Sabour, N. S. Kostyuchenko, S. A. Zhuravitskii, N. N. Skryabin, I. V. Dyakonov, A. A. Kalinkin, V. O. Kompanets, S. P. Kulik, S. V. Chekalin, A. Ferrando, V. N. Zadkov, Y. V. Kartashov   +13 more
wiley   +1 more source

Nonlinearizing linear equations to integrable systems including new hierarchies with nonholonomic deformations

, 2009
We propose a scheme for nonlinearizing linear equations to generate integrable nonlinear systems of both the AKNS and the KN classes, based on the simple idea of dimensional analysis and detecting the building blocks of the Lax pair.
Kundu, Anjan
core   +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

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