Results 101 to 110 of about 433,700 (300)

Statistical Theory for Incoherent Light Propagation in Nonlinear Media

, 2001
A novel statistical approach based on the Wigner transform is proposed for the description of partially incoherent optical wave dynamics in nonlinear media.
A. Hasegawa, A.A. Sukhorukov, B. Hall, C. Anastassiou, D. Anderson, D. Anderson, D. R. Crawford, D.N. Christodoulides, D.N. Christodoulides, D.N. Christodoulides, D.N. Christodoulides, E. Wigner, G.A. Pasmanik, I. E. Alber, I.B. Bernstein, J.E. Moyal, M. Lisak, M. Mitchell, M. Mitchell, M. Mitchell, M. Soljacic, M.I. Carvalho, N. Akhmediev, N.L. Tsintsadze, N.L. Tsintsadze, P. A. E. M. Janssen, P.K. Shukla, R. Bingham, R. Fedele, R. Fedele, R. Fedele, S.A. Gardiner, T. Tanuti, T.H. Coskun, T.H. Coskun, V. E. Semenov, V.I. Karpman, V.V. Shkunov, W. Królikowski, Z. Chen   +39 more
core   +2 more sources

New Integrable Coupled Nonlinear Schrodinger Equations

, 1999
Two types of integrable coupled nonlinear Schrodinger (NLS) equations are derived by using Zakharov-Shabat (ZS) dressing method.The Lax pairs for the coupled NLS equations are also investigated using the ZS dressing method. These give new types of the integrable coupled NLS equations with certain additional terms.
openaire   +2 more sources

Suprathermal Soliton Solutions to Nonlinear Schrödinger Equation

Contributions to Plasma Physics, EarlyView.
ABSTRACT Maxwell distributions are very difficult to find in the low‐pressure environment far away the Earth atmosphere, permeated by high temperatures, various types of radiation, highly energetic particles, space debris, and subjected to microgravity, presenting crucial challenges for spacecraft design and operations, and affecting astronaut's health.
F. E. M. Silveira, M. H. Benetti, I. L. Caldas   +2 more
wiley   +1 more source

Geometric optics and boundary layers for Nonlinear Schrodinger equations

, 2008
We justify supercritical geometric optics in small time for the defocusing semiclassical Nonlinear Schrodinger Equation for a large class of non-necessarily homogeneous nonlinearities.
Chiron, D., Rousset, F.
core   +2 more sources

Analytic solutions to repulsive nonlinear Schrodinger equation

Applied Mathematical Sciences, 2014
In this paper we make use of the the sn-ns method to obtain new exact solutions to so called repulsive or de-focusing nonlinear Schrodinger equation. These solutions are given in terms of Jacobi elliptic functions sn and ns.
openaire   +1 more source

Generalized Chemical Model for Warm Dense Hydrogen: Ionization Potential Depression and Molecular Dissociation Shifts

Contributions to Plasma Physics, EarlyView.
ABSTRACT Warm dense matter (WDM) is a complex state, where quantum effects, thermal excitations, and strong interparticle correlations coexist. Understanding its microscopic composition and medium‐induced modifications of atomic and molecular properties is essential for planetary modeling, fusion research, and high‐energy‐density experiments.
L. T. Yerimbetova, Yu. V. Arkhipov, Ye. S. Mukhametkarimov, A. E. Davletov, I. M. Tkachenko   +4 more
wiley   +1 more source

Nonlinear Schrödinger type tetrahedron maps

Nuclear Physics B, 2020
This paper is concerned with the construction of new solutions in terms of birational maps to the functional tetrahedron equation and parametric tetrahedron equation.
S. Konstantinou-Rizos
doaj   +1 more source

Inverse scattering transform for the nonlocal nonlinear Schrödinger equation with nonzero boundary conditions [PDF]

, 2016
In 2013, a new nonlocal symmetry reduction of the well-known AKNS (an integrable system of partial differential equations, introduced by and named after Mark J. Ablowitz, David J. Kaup, and Alan C. Newell et al. (1974)) scattering problem was found.
M. Ablowitz, Xu‐Dan Luo, Z. Musslimani
semanticscholar   +1 more source

TimeFlow 2: An Unsupervised Cell Lineage Detection Method for Flow Cytometry Data

Cytometry Part A, EarlyView.
TimeFlow 2 is a new method for cell lineage inference in flow cytometry data. It constructs cell state paths along pseudotime and aggregates them into biologically informative groups. It allows tracking of cytometry markers within each automatically inferred lineage.
Margarita Liarou, Thomas Matthes, Stéphane Marchand‐Maillet   +2 more
wiley   +1 more source

New sub-equation method to construct solitons and other solutions for perturbed nonlinear Schrödinger equation with Kerr law nonlinearity in optical fiber materials

Journal of Ocean Engineering and Science, 2019
In a previous work, Zayed and Al-Nowehy have applied the Riccati equation mapping method combined with the generalized extended (G′/G)-expansion method and found new exact solutions of the nonlinear KPP equation.
Elsayed M.E. Zayed, Abdul-Ghani Al-Nowehy, Reham M.A. Shohib   +2 more
doaj   +1 more source