Results 31 to 40 of about 458,466 (259)
On nonparaxial nonlinear Schrödinger-type equations [PDF]
, 2019 In this paper the one-dimensional nonparaxial nonlinear Schrödinger equation is considered. This was proposed as an alternative to the classical nonlinear Schrödinger equation in those situations where the assumption of paraxiality may fail.
Cano Urdiales, Begoña +1 more
core +1 more source
Rogue waves on the double-periodic background in the focusing nonlinear Schrödinger equation. [PDF]
Physical Review E, 2019 The double-periodic solutions of the focusing nonlinear Schrödinger equation have been previously obtained by the method of separation of variables. We construct these solutions by using an algebraic method with two eigenvalues.
Jinbing Chen +2 more
semanticscholar +1 more source
Korteweg-de Vries description of Helmholtz-Kerr dark solitons [PDF]
, 2006 A wide variety of different physical systems can be described by a relatively small set of universal equations. For example, small-amplitude nonlinear Schrödinger dark solitons can be described by a Korteweg-de Vries (KdV) equation.
Chamorro-Posada P +21 more
core +3 more sources
Onset of the wave turbulence description of the longtime behavior of the nonlinear Schrödinger equation [PDF]
Inventiones Mathematicae, 2019 Consider the cubic nonlinear Schrödinger equation set on a d-dimensional torus, with data whose Fourier coefficients have phases which are uniformly distributed and independent.
T. Buckmaster +3 more
semanticscholar +1 more source
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
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
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
The KdV/KP-I Limit of the Nonlinear Schrödinger Equation [PDF]
, 2010 International audienceWe justify rigorously the convergence of the amplitude of solutions of nonlinear Schrödinger-type equations with nonzero limit at infinity to an asymptotic regime governed by the Korteweg-de Vries (KdV) equation in dimension 1 and ...
Chiron, David, Rousset, Frédéric
core +3 more sources
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
A Posteriori Error Analysis for Evolution Nonlinear Schrodinger Equations Up to the Critical Exponent [PDF]
, 2018 We provide a posteriori error estimates in the L8([0, T]; L2(?))-norm for relaxation time discrete and fully discrete schemes for a class of evolution nonlinear Schrödinger equations up to the critical exponent.
Katsaounis, Theodoros, Kyza, Irene
core +2 more sources