Results 121 to 130 of about 3,422,090 (230)

Pre‐Procedural Safety Screening in Diagnostic Imaging Across England: A Freedom of Information Study

Journal of Evaluation in Clinical Practice, Volume 32, Issue 6, September 2026.
ABSTRACT Rationale Patient safety screening forms are a way of identifying medical history and contraindications prior to diagnostic imaging examinations. Current utilisation of patient safety forms and variation in their design is unclear. Aims and Objectives Adopting a pragmatic research approach, we aimed to explore pre‐procedural patient‐completed ...
Martine Ann Mallinson, Bryony Brown, Beverly Snaith   +2 more
wiley   +1 more source

Solitons on lattices and curved space-time [PDF]

, 2001
This thesis is concerned with solitons (solutions of certain nonlinear partial differential equations) in certain cases when the underlying space is either a lattice or curved. Chapter 2 of the thesis is concerned with the outcome of collisions between a
Kotecha, Vinay, Kotecha, V.
core  

Fractional and Integrable Perspectives on a Variable-Coefficient Semi-Discrete NLS Equation: Analytical Method and Engineering Applications

Fractal and Fractional
The method of deriving fractional-order differential equations using Riesz fractional-order calculus is a new breakthrough, and it is possible to use the inverse scattering transform (IST) to solve the analytical solutions of the derived equations ...
Sen Zhao, Sheng Zhang, Bo Xu
doaj   +1 more source

Numerical Identification of Stationary States and Their Stability in a Model of Quantum Droplets

Studies in Applied Mathematics, Volume 157, Issue 3, September 2026.
ABSTRACT In this work, we are motivated by a recent variant of the nonlinear Schrödinger (NLS) equation describing cold, dilute atomic condensates with quantum fluctuation effects. Our goal is to develop robust numerical methods capable of uncovering diverse stationary solutions in such NLS models.
Sun Lee, Panayotis G. Kevrekidis, Wenrui Hao   +2 more
wiley   +1 more source

Sharp Upper Bound for Amplitudes of Finite‐Gap Solutions of the Modified Korteweg‐de Vries Equation

Studies in Applied Mathematics, Volume 157, Issue 3, September 2026.
ABSTRACT A sharp upper bound is established for the amplitudes of finite‐gap solutions of the focusing modified Korteweg–de Vries equation. The proof shows that the optimization can be carried out entirely within the finite‐dimensional hierarchy, without explicit integration of the finite‐gap solution. The maximal amplitude is expressed in terms of the
Otis C. Wright III
wiley   +1 more source

Quantum backreaction effect in optical solitons

New Journal of Physics
Optical solitons classically are stationary solutions of the nonlinear Schrödinger equation. We perform a quantum field theoretic treatment by quantising a linearised fluctuation field around the classical soliton solution which can be seen as providing ...
Sang-Shin Baak, Friedrich König
doaj   +1 more source

Exact Soliton Solutions to the Variable-Coefficient Korteweg–de Vries System with Cubic–Quintic Nonlinearity

Mathematics
In this manuscript, we investigate the (2+1)-dimensional variable-coefficient Korteweg–de Vries (KdV) system with cubic–quintic nonlinearity. Based on different methods, we also obtain different solutions.
Hongcai Ma, Xinru Qi, Aiping Deng
doaj   +1 more source

Experiments and Applications of Soliton Physics

, 1990
"Solitons are everywhere in the nature. The present lecture surveys various soliton phenomena, after giving the mathematical foundation to define solitons.
"Ichikawa, Yoshi H."
core  

Soliton solution and conservation laws of the Zakharov equation in plasmas with power law nonlinearity

Nonlinear Analysis, 2013
This paper studies the Zakharov equation with power law nonlinearity. The traveling wave hypothesis is applied to obtain the 1-soliton solution of this equation.
Richard Morris, Abdul Hamid Kara, Anjan Biswas   +2 more
doaj  

Bifurcation analysis and dynamical behavior of novel optical soliton solution of chiral (2 + 1) dimensional nonlinear Schrodinger equation in telecommunication system. [PDF]

Sci Rep
Saber H, Roshid MM, Bouye M, Muhyi A, Moumen A, Aldwoah K.   +5 more
europepmc   +1 more source