Results 51 to 60 of about 746,627 (265)
Universality of the Peregrine Soliton in the Focusing Dynamics of the Cubic Nonlinear Schrödinger Equation. [PDF]
Physical Review Letters, 2017 We report experimental confirmation of the universal emergence of the Peregrine soliton predicted to occur during pulse propagation in the semiclassical limit of the focusing nonlinear Schrödinger equation.
A. Tikan +10 more
semanticscholar +1 more source
Modulational Instability and Dynamical Growth Blockade in the Nonlinear Hatano–Nelson Model
Advanced Physics Research, EarlyView.The nonlinear Hatano–Nelson model under periodic boundary conditions is investigated, revealing a novel growth blockade phenomenon triggered by the modulational instability of nonlinear plane waves. This effect, characterized by the abrupt halt of norm growth, arises from self‐induced disorder, marking a departure from the convective motion observed in
Stefano Longhi
wiley +1 more source
The analytic solutions of Schrödinger equation with Cubic-Quintic nonlinearities
Results in Physics, 2018 This paper deals with the nonlinear Schrödinger equation with Cubic-Quintic nonlinearities. After transforming the non-autonomous nonlinear Schrödinger equation into a stationary equation by adopting the BPVK idea, we give the classification of the ...
Chun-Yan Wang
doaj
The Rogue Waves with Quintic Nonlinearity and Nonlinear Dispersion effects in Nonlinear Optical Fibers [PDF]
, 2013 We present exact rational solution for a modified nonlinear Schr$\ddot{o}$dinger equation that takes into account quintic nonlinearity and nonlinear dispersion corrections to the cubic nonlinearity, which could be used to describe rogue wave in nonlinear fibers.
arxiv +1 more source
Communications on Pure and Applied Mathematics, EarlyView.Abstract We consider the global dynamics of finite energy solutions to energy‐critical equivariant harmonic map heat flow (HMHF) and radial nonlinear heat equation (NLH). It is known that any finite energy equivariant solutions to (HMHF) decompose into finitely many harmonic maps (bubbles) separated by scales and a body map, as approaching to the ...
Kihyun Kim, Frank Merle
wiley +1 more source
Dynamics of higher-order rational solitons for the nonlocal nonlinear Schrödinger equation with the self-induced parity-time-symmetric potential. [PDF]
Chaos, 2016 The integrable nonlocal nonlinear Schrödinger equation with the self-induced parity-time-symmetric potential [M. J. Ablowitz and Z. H. Musslimani, Phys. Rev. Lett.
Xiaoyong Wen, Zhenya Yan, Yunqing Yang
semanticscholar +1 more source
Electrical Conductivities and Low Frequency Opacities in the Warm Dense Matter Regime
Contributions to Plasma Physics, EarlyView.ABSTRACT In this article, we examine different approaches for calculating low frequency opacities in the warm dense matter regime. The relevance of the average‐atom approximation and of different models for calculating opacities, such as the Ziman or Ziman–Evans models is discussed and the results compared to ab initio simulations.
Mikael Tacu +3 more
wiley +1 more source
Three Types Generalized Zn-Heisenberg Ferromagnet Models
Advances in Mathematical Physics, 2020 By taking values in a commutative subalgebra gln,C, we construct a new generalized Zn-Heisenberg ferromagnet model in (1+1)-dimensions. The corresponding geometrical equivalence between the generalized Zn-Heisenberg ferromagnet model and Zn-mixed ...
Yinfei Zhou +3 more
doaj +1 more source
AIP Advances, 2021 The present paper studies two various models with two different types: the nonlinear Schrödinger equation with power-law nonlinearity and the (3 + 1)-dimensional nonlinear Schrödinger equation.
Hassan Almusawa +3 more
doaj +1 more source
Exactly solvable nonlinear eigenvalue problems [PDF]
arXiv, 2020 The nonlinear eigenvalue problem of a class of second order semi-transcendental differential equations is studied. A nonlinear eigenvalue is defined as the initial condition which gives rise a separatrix solution. A semi-transcendental equation can be integrated once to a first order nonlinear equation, e.g., the Ricatti equation.
arxiv