Results 71 to 80 of about 51,663 (217)

Soliton solutions of the Kadomtsev-Petviashvili II equation

, 2005
We study a general class of line-soliton solutions of the Kadomtsev-Petviashvili II (KPII) equation by investigating the Wronskian form of its tau-function.
Dickey L. A., Gantmacher F. R., Gino Biondini, Kadomtsev B. B., Miwa T., Novikov S. P., S. Chakravarty   +6 more
core   +1 more source

Self‐Similar Blowup for the Cubic Schrödinger Equation

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT We give a rigorous proof for the existence of a finite‐energy, self‐similar solution to the focusing cubic Schrödinger equation in three spatial dimensions. The proof is computer‐assisted and relies on a fixed point argument that shows the existence of a solution in the vicinity of a numerically constructed approximation.
Roland Donninger, Birgit Schörkhuber
wiley   +1 more source

Stable solutions to the nonlinear RLC transmission line equation and the Sinh–Poisson equation arising in mathematical physics

Open Physics, 2020
The Sinh–Poisson equation and the RLC transmission line equation are important nonlinear model equations in the field of engineering and power transmission. The modified simple equation (MSE) procedure is a realistic, competent and efficient mathematical
Abdul Kayum Md., Seadawy Aly R., Akbar Ali M., Sugati Taghreed G.   +3 more
doaj   +1 more source

Trigonal curves and algebro-geometric solutions to soliton hierarchies

, 2016
Using linear combinations of Lax matrices of soliton hierarchies, we introduce trigonal curves by their characteristic equations, and determine Dubrovin type equations for zeros and poles of meromorphic functions defined as ratios of the Baker-Akhiezer ...
Ma, Wen-Xiu
core   +1 more source

Enhanced Nonlinear Optical Absorption Properties and Carrier Dynamics of Violet Phosphorene by Oxidation for Ultrafast Photonic Applications

ENERGY &ENVIRONMENTAL MATERIALS, EarlyView.
This study investigates the effects of oxidation treatment on the nonlinear optical absorption properties and carrier dynamics of two‐dimensional violet phosphorene (VP), elucidating the underlying physical mechanisms. Furthermore, ultrashort laser pulses are achieved utilizing the enhanced saturation absorption and shortened carrier relaxation ...
Bo Li, Han Pan, Qingling Tang, Zhongben Pan, Hongwei Chu, Ying Li, Dechun Li   +6 more
wiley   +1 more source

Investigating One-, Two-, and Triple-Wave Solutions via Multiple Exp-Function Method Arising in Engineering Sciences

Advances in Mathematical Physics, 2020
The multiple Exp-function method is employed for searching the multiple soliton solutions for the new extended (3+1)-dimensional Jimbo-Miwa-like (JM) equation, the extended (2+1)-dimensional Calogero-Bogoyavlenskii-Schiff (eCBS) equation, the ...
Pengbo Wan, Jalil Manafian, Hajar Farhan Ismael, Sizar Abid Mohammed   +3 more
doaj   +1 more source

The nonlinear vibration and dispersive wave systems with extended homoclinic breather wave solutions

Open Physics, 2022
This article investigates the extended homoclinic (heteroclinic) breather wave solutions and interaction periodic and dark soliton solutions to the nonlinear vibration and dispersive wave systems.
Rao Xianqing, Manafian Jalil, Mahmoud K. H., Hajar Afandiyeva, Mahdi Ahmed B., Zaidi Muhaned   +5 more
doaj   +1 more source

Direct Numerical Simulation of Magnetohydrodynamic Slip‐Flow Past a Stretching Surface Using Physics‐Informed Neural Network

Heat Transfer, EarlyView.
ABSTRACT Traditional numerical methods, such as finite difference methods (FDM), finite element methods (FEM), and spectral methods, often face meshing challenges and high computational cost for solving nonlinear coupled differential equations. Machine learning techniques, specifically Physics‐informed machine learning, address these obstacles by ...
Ahmad, Feroz Soomro, Husna Zafar
wiley   +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

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