Results 21 to 30 of about 359,520 (242)
Nonlinearity Management in Higher Dimensions [PDF]
, 2005 In the present short communication, we revisit nonlinearity management of the time-periodic nonlinear Schrodinger equation and the related averaging procedure.
A Stefanov +11 more
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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 +5 more
doaj +1 more source
Perturbations of Dark Solitons [PDF]
, 2010 A method for approximating dark soliton solutions of the nonlinear Schrodinger equation under the influence of perturbations is presented. The problem is broken into an inner region, where core of the soliton resides, and an outer region, which evolves ...
Ablowitz, Mark J. +3 more
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Journal of Applied Mathematics, 2012 We modified the rational Jacobi elliptic functions method to construct some new exact solutions for nonlinear differential difference equations in mathematical physics via the lattice equation, the discrete nonlinear Schrodinger equation with a saturable
Khaled A. Gepreel +2 more
doaj +1 more source
Exact Solutions for Nonlinear Differential Difference Equations in Mathematical Physics
Abstract and Applied Analysis, 2013 We modified the truncated expansion method to construct the exact solutions for some nonlinear differential difference equations in mathematical physics via the general lattice equation, the discrete nonlinear Schrodinger with a saturable nonlinearity ...
Khaled A. Gepreel +2 more
doaj +1 more source
Are physiological oscillations physiological?
The Journal of Physiology, EarlyView., 2023 Abstract figure legend Mechanisms and functions of physiological oscillations. Abstract Despite widespread and striking examples of physiological oscillations, their functional role is often unclear. Even glycolysis, the paradigm example of oscillatory biochemistry, has seen questions about its oscillatory function.
Lingyun (Ivy) Xiong, Alan Garfinkel
wiley +1 more source
On the wave operators for the critical nonlinear Schr\"odinger equation [PDF]
, 2008 8 pages. The published version contains extra remarks.International audienceWe prove that for the mass critical nonlinear Schrodinger equations, the wave operators and their inverse are related explicitly in terms of the Fourier transform.
Carles, Remi, Ozawa, Tohru
core +2 more sources
Field renormalization in Photonic Crystal waveguides [PDF]
, 2015 A novel strategy is introduced in order to include variations of the nonlinearity into the nonlinear schrodinger Equation. This technique, which relies on renormalization, is in particular well adapted to nanostructured optical systems where the ...
Colman, P.
core +3 more sources
Nonlinear Analysis, 2002 We investigate two different initial boundary-value problems for derivative nonlinear Schrodinger equation. The boundary conditions are Dirichlet ¨ or generalized periodic ones. We propose a two-step algorithm for numerical solving of this problem.
T. Meškauskas, F. Ivanauskas
doaj +1 more source
Soliton solutions of an integrable nonlinear Schrödinger equation with quintic terms [PDF]
, 2014 We present the fifth-order equation of the nonlinear Schrodinger hierarchy. This integrable partial differential ¨ equation contains fifth-order dispersion and nonlinear terms related to it.
Akhmediev, N. +3 more
core +1 more source