Results 21 to 30 of about 458,466 (259)

Existence of global solutions to a quasilinear Schrödinger equation with general nonlinear optimal control conditions

Boundary Value Problems, 2020
In this article, we study a modified maximum principle approach under condition on the weight of the delay term in the feedback and the weight of the term without delay.
Yisheng Hu, Songhai Qin, Zhibin Liu, Yi Wang   +3 more
doaj   +1 more source

Novel Optical Soliton Waves in Metamaterials with Parabolic Law of Nonlinearity via the IEFM and ISEM

Journal of Function Spaces, 2022
Here, the miscellaneous soliton solutions of the generalized nonlinear Schrödinger equation are considered that describe the model of few-cycle pulse propagation in metamaterials with parabolic law of nonlinearity.
Xiaoyan Li, Jalil Manafian, Mostafa Abotaleb, Onur Alp Ilhan, Atheer Y. Oudah, A. S. Prakaash   +5 more
doaj   +1 more source

Does the nonlinear Schroedinger equation correctly describe beam propagation? [PDF]

, 2013
The parabolic equation (nonlinear Schrödinger equation) that appears in problems of stationary nonlinear beam propagation (self-focusing) is reconsidered.
a, Jirawit, Makhotkin, Matyi, Monaco, Nannarone, Nayak, Platonov, Serafinczuk, Spiga, Windt   +10 more
core   +1 more source

Nonlinear interfaces: intrinsically nonparaxial regimes and effects [PDF]

, 2009
The behaviour of optical solitons at planar nonlinear boundaries is a problem rich in intrinsically nonparaxial regimes that cannot be fully addressed by theories based on the nonlinear Schrödinger equation.
Boardman A D, Chamorro-Posada P, Chamorro-Posada P, Christian J M, Graham S McDonald, Julio Sánchez-Curto, Kaplan A E, Nesterov L A, Nesterov L A, Pedro Chamorro-Posada, Zakharov V E   +10 more
core   +2 more sources

Study of Attractive Nonlinearity by 1-D Nonlinear Schrödinger Equation in the Bose–Einstein Condensate

Journal of Bangladesh Academy of Sciences, 1970
The work represents and investigates the stationary solutions of the one-dimensional Non-linear Schrödinger Equation (NLSE), for attractive non-linearity, in the Bose-Einstein condensates (BEC) under the box boundary condition and calculates the characteristics of internal modes of bright solitons (eigen modes of small perturbation of the condensate ...
MH Rashid, MM Hossain, SK Das, Y Haque, ML Rahman   +4 more
openaire   +2 more sources

Strong confinement limit for the nonlinear Schrödinger equation constrained on a curve [PDF]

, 2016
International audienceThis paper is devoted to the cubic nonlinear Schrödinger equation in a two dimensional waveguide with shrinking cross section.
Méhats, Florian, Raymond, Nicolas
core   +4 more sources

The First Integral Method to the Nonlinear Schrodinger Equations in Higher Dimensions

Abstract and Applied Analysis, 2013
The first integral method introduced by Feng is adopted for solving some important nonlinear partial differential equations, including the (2 + 1)-dimensional hyperbolic nonlinear Schrodinger (HNLS) equation, the generalized nonlinear Schrodinger (GNLS ...
Shoukry Ibrahim Atia El-Ganaini
doaj   +1 more source

Dynamics of modulationally unstable ionacoustic wave packets in plasmas with negative ions [PDF]

, 2008
In this paper we study the propagation of nonlinear ion-acoustic waves in plasmas with negative ions. The Gardner equation governing these waves in plasmas with the negative ion concentration close to critical is derived.
Berezin, Das, Das, Das, EFIM PELINOVSKY, Engelbrecht, Grimshaw, Lonngren, MICHAEL S. RUDERMAN, Tagare, TATYANA TALIPOVA   +10 more
core   +1 more source

Linear and Nonlinear Bullets of the Bogoliubov-de Gennes Excitations [PDF]

, 2017
We report on the focalization of Bogoliubov–de Gennes excitations of the nonlinear Schrödinger equation in the defocusing regime (Gross-Pitaevskii equation for repulsive Bose-Einstein condensates) with a spatially modulated periodic potential. Exploiting
Kumar, Shubham, Perego, A.M., Staliunas, Kestutis   +2 more
core   +2 more sources

The optical soliton solutions of nonlinear Schrödinger equation with quintic non-Kerr nonlinear term

Results in Physics, 2023
The purpose of this paper is to study the optical soliton solutions of nonlinear Schrödinger equation with quintic non-Kerr nonlinear term describing the nonlinear wave state of optical solitons, which is a noteworthy and important model in optical fiber
Kun Zhang, Tianyong Han
doaj   +1 more source