Results 51 to 60 of about 17,079 (203)

Abundant closed-form solutions and solitonic structures to an integrable fifth-order generalized nonlinear evolution equation in plasma physics

Results in Physics, 2021
This paper investigates the evolution dynamics of closed-form solutions for a new integrable nonlinear fifth-order equation with spatial and temporal dispersion which describes shallow water waves moving in two directions.
Sachin Kumar, Hassan Almusawa, Ihsanullah Hamid, M.A. Abdou   +3 more
doaj   +1 more source

Spatial storage of discrete dark solitons

, 2015
The interaction between a mobile discrete dark soliton (DDS) and impurities in one-dimensional nonlinear (Kerr) photonic lattices is studied. We found that the scattering is an inelastic process where the DDS can be reflected or transmitted depending on ...
Martínez, Alejandro J., Zárate, Yair
core   +1 more source

Multiple-soliton Solutions for Nonlinear Partial Differential Equations

Journal of Mathematics Research, 2015
Based on the scale transformation and the multiple exp-function method, the (3+1)-dimensional Boiti-Leon-Manna-Pempinelli (BLMP) equation and a generalized Shallow Water Equation have been solved. The exponential wave solutions which include one-wave, two-wave and three-wave solutions have been obtained. In addition, by comparing the solutions obtained
Yaning Tang, Weijian Zai
openaire   +1 more source

Evaluating the Diagnostic Utility of Spinal Ultrasound in Neonates With a Simple Sacral Dimple: An Eight‐Year Retrospective Study

Journal of Medical Radiation Sciences, EarlyView.
This study retrospectively analysed eight years of neonatal spinal ultrasound data from a major Australian children's hospital to assess the value of imaging for simple sacral dimples. Out of 448 scans, 195 were for an isolated simple dimple, and only two infants (1%) were found to have spinal dysraphism, both with other congenital anomalies.
Nyles Tattersall, Lateisha Stam, Madonna Burnett, Deborah Starkey, Christopher Edwards, Tristan Reddan   +5 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

Interaction Properties of the Periodic and Step-like Solutions of the Double-Sine-Gordon Equation

, 2009
The periodic and step-like solutions of the double-Sine-Gordon equation are investigated, with different initial conditions and for various values of the potential parameter $\epsilon$. We plot energy and force diagrams, as functions of the inter-soliton
Abdorrasoul Gharaati, Afshin Montakhab, C.A. Condat, C.A. Popov, E. Kreyszig, E. Magyari, H.B. Callen, J. Pouget, J. Timonen, K. Maki, K.M. Leung, L.V. Yakushevich, M. Croitoru, M. El-Batanouny, M. Guidry, M. Wang, Marzieh Peyravi, N. Hatakenaka, N. Riazi, N. Riazi, N. Riazi, Nematollah Riazi, O. Hudak, R. D’Inverno, R. Khomeriki, S. Burdick, S. Cuenda, S. Duckworth, T. Uchiyama, V.A. Gani, Y. Shiefman   +30 more
core   +2 more sources

On the nonlocal Boussinesq equation: Multiple-soliton solutions

Applied Mathematics Letters, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

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