Results 1 to 10 of about 1,232,647 (277)
Stability of the NLS Equation with Viscosity Effect [PDF]
Journal of Applied Mathematics, 2011 A nonlinear Schrödinger (NLS) equation with an effect of viscosity is derived from a Korteweg-de Vries (KdV) equation modified with viscosity using the method of multiple time scale.
N. Karjanto, K. M. Tiong
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Nongauge bright soliton of the nonlinear Schrödinger (NLS) equation and a family of generalized NLS equations [PDF]
Modern Physics Letters A, 2016 We present an approach to the bright soliton solution of the nonlinear Schrödinger (NLS) equation from the standpoint of introducing a constant potential term in the equation. We discuss a “nongauge” bright soliton for which both the envelope and the phase depend only on the traveling variable.
Reyes, M. A. +3 more
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Symmetry broken and unbroken solutions of nonlocal NLS equation in 2+1 dimensions
Results in Physics, 2020 In this paper, we study a general nonlinear Schrödinger (NLS) equation in 2+1 dimensions which under appropriate nonlocal symmetry reduction leads to reverse space nonlocal NLS equation. We apply Darboux transformation and construct multiple solutions of
H. Sarfraz, U. Saleem
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Quasi-integrability from $$\mathcal{P}\mathcal{T}$$ -symmetry [PDF]
Scientific ReportsParity and time-reversal ( $$\mathcal{P}\mathcal{T}$$ ) symmetry is shown as the natural cause of quasi-integrability of deformed integrable models, crucial to represent real physical systems as they posses various irregularities.
Kumar Abhinav +2 more
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The solutions of classical and nonlocal nonlinear Schr\"{o}dinger equations with nonzero backgrounds: Bilinearisation and reduction approach [PDF]
Open Communications in Nonlinear Mathematical Physics, 2023 In this paper we develop a bilinearisation-reduction approach to derive solutions to the classical and nonlocal nonlinear Schr\"{o}dinger (NLS) equations with nonzero backgrounds.
Da-jun Zhang, Shi-min Liu, Xiao Deng
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Exp-function Method and Reduction Transformations for Rogue Wave Solutions of the Davey-Stewartson Equations [PDF]
Journal of Applied and Computational Mechanics, 2021 A pair of rogue wave solutions of the Davey-Stewartson (DS) equations are obtained by using the exp-function method and reduction transformations. Firstly, the Davey-Stewartson equations are transformed into two easy-to-solve equations, one of which is ...
Sheng Zhang, Yue Zhang, Bo Xu
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Frontiers in Physics, 2023 The nonlinear Schrödinger (NLS) equation is an ideal model for describing optical soliton transmission. This paper first introduces an integer-order generalized coupled NLS equation describing optical solitons in birefringence fibers.
Lei Fu +4 more
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Frontiers in Physics, 2023 In this paper, the non-local reverse space−time fifth-order non-linear Schrödinger(NLS) equation has been investigated, which is proposed by the non-local reduction of Ablowitz–Kaup–Newell–Segur (AKNS) scattering problems.
Xinrui Shi +3 more
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Correspondence between the NLS equation for optical fibers and a class of integrable NLS equations [PDF]
Mathematical Methods in the Applied Sciences, 2014 The propagation of the optical field complex envelope in a single‐mode fiber is governed by a one‐dimensional cubic nonlinear Schrödinger equation with a loss term. We present a result about L2‐closeness of the solutions of the aforementioned equation and of a one‐dimensional nonlinear Schrödinger equation that is Painlevé integrable.
Domenico Felice, BARLETTI, LUIGI
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Birkhoff Coordinates for the Focusing NLS Equation [PDF]
Communications in Mathematical Physics, 2008 In this paper we construct Birkhoff coordinates for the focusing nonlinear Schrödinger equation near the zero solution.
Kappeler, T. +3 more
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