Results 21 to 30 of about 36,271 (185)
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 +10 more
core +2 more sources
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 +4 more
openaire +2 more sources
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 +10 more
core +1 more source
Solitary waves due to x(2):x(2) cascading [PDF]
, 1994 Solitary waves in materials with a cascaded x(2):x(2) nonlinearity are investigated, and the implications of the robustness hypothesis for these solitary waves are discussed. Both temporal and spatial solitary waves are studied.
Menyuk, Curtis +2 more
core +2 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
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 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
Approach to first-order exact solutions of the Ablowitz-Ladik equation [PDF]
, 2011 We derive exact solutions of the Ablowitz-Ladik (A-L) equation using a special ansatz that linearly relates the real and imaginary parts of the complex function.
Akhmediev, Nail +2 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 +2 more
core +2 more sources
Advances in Mathematical Physics, 2014 We derive the solitonic solution of the nonlinear Schrödinger equation with cubic nonlinearity, complex potentials, and time-dependent coefficients using the Darboux transformation.
H. Chachou Samet +3 more
doaj +1 more source