Buchumschlag

Standing Waves with Periodic Amplitude in the Discrete Nonlinear Schrödinger Type Equation with Saturable Nonlinearity on 2D-Lattice

This paper is devoted to the study of a discrete nonlinear Schrödinger equation on a two-dimensional lattice. This type of equations with saturable nonlinearity is studied. We first consider the Schrödinger type equation with a more general nonlinearity, which has the same properties as saturable no...

Ausführliche Beschreibung

Gespeichert in:

Bibliographische Detailangaben
Datum:	2018
Hauptverfasser:	Бак, Сергій Миколайович, Ковтонюк, Галина Миколаївна, Печериця, Іван Володимирович
Format:	Artikel
Sprache:	Ukrainisch
Veröffentlicht:	Кам'янець-Подільський національний університет імені Івана Огієнка 2018
Online Zugang:	http://mcm-math.kpnu.edu.ua/article/view/159248
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!
Назва журналу:	Mathematical and computer modelling. Series: Physical and mathematical sciences

Institution

Mathematical and computer modelling. Series: Physical and mathematical sciences

Ähnliche Einträge

Standing Waves in Discrete Klein-Gordon Type Equations with Saturable Nonlinearities
von: Бак, Сергій
Veröffentlicht: (2021)

Standing Waves with Periodic Amplitude in the Discrete Nonlinear Schr?dinger Type Equation with Saturable Nonlinearity on 2D-Lattice
von: S. M. Bak, et al.
Veröffentlicht: (2018)

Existence of Standing Waves in the Discrete Nonlinear Schrődinger Equation with Cubic Nonlinearity on 2D-lattice
von: S. M. Bak
Veröffentlicht: (2017)

Standing Waves in Discrete Klein-Gordon Type Equations with Saturable Nonlinearities
von: S. M. Bak
Veröffentlicht: (2021)

On the Boundedness of the Global Solution of Cauchy Problem for Infinite System of Nonlinear Oscillators on 2D-lattice
von: Бак, Сергій Миколайович
Veröffentlicht: (2019)

Existence of periodic supersonic traveling waves in non-linear related nonlinear oscillator on two-dimensional grid
von: Бак, Сергій Миколайович
Veröffentlicht: (2015)

Existence of Periodic Solutions in the System of Nonlinear Oscillators with Power Potentials on a Two-Dimensional Lattice
von: Бак, Сергій
Veröffentlicht: (2021)

Long-Time Asymptotics for the Defocusing Integrable Discrete Nonlinear Schrödinger Equation II
von: Yamane, H.
Veröffentlicht: (2015)

Existence of the solitary traveling waves for a system of nonlinearly coupled oscillators on the 2d -lattice
von: Bak, S. N., et al.
Veröffentlicht: (2017)

Existence of periodic traveling waves in Fermi-Pasta-Ulam type systems on 2D-lattice with saturable nonlinearities
von: S. M. Bak, et al.
Veröffentlicht: (2021)

Group Classification of Nonlinear Schrödinger Equations
von: Nikitin, A. G., et al.
Veröffentlicht: (2001)

N -Bright-Dark Soliton Solution to a Semi-Discrete Vector Nonlinear Schrödinger Equation
von: Feng, B.-F., et al.
Veröffentlicht: (2017)

The Existence of Heteroclinic TravellingWaves in the Discrete Sine-Gordon Equation with Nonlinear Interaction on a 2D-Lattice
von: S. Bak
Veröffentlicht: (2018)

The Existence of Heteroclinic Travelling Waves in the Discrete Sine-Gordon Equation with Nonlinear Interaction on a 2D-Lattice
von: Bak, S.
Veröffentlicht: (2018)

The discrete nonlinear Schrödinger type hierarchy, its finite dimensional reduction analysis and numerical integrability scheme
von: A. K. Prykarpatski, et al.
Veröffentlicht: (2017)

The discrete nonlinear Schrödinger type hierarchy, its finite dimensional reduction analysis and numerical integrability scheme
von: Prykarpatsky, A.K., et al.
Veröffentlicht: (2017)

A fifth-order nonlinear Schrödinger equation for waves on the surface of finite-depth fluid
von: Yu. V. Sedletsky
Veröffentlicht: (2021)

A fifth-order nonlinear Schrödinger equation for waves on the surface of finite-depth fluid
von: Yu. V. Sedletsky
Veröffentlicht: (2021)

Solutions of Nonlinear Schrodinger Equation with Two Potential Wells in Linear/Nonlinear Media
von: V. S. Gerasimchuk, et al.
Veröffentlicht: (2016)

Solutions of Nonlinear Schrödinger Equation with Two Potential Wells in Linear/Nonlinear Media
von: Gerasimchuk, V.S., et al.
Veröffentlicht: (2016)

The Scattering Problem for a Noncommutative Nonlinear Schrödinger Equation
von: Durhuus, B., et al.
Veröffentlicht: (2010)

Symmetry and non-lie reduction of the nonlinear Schrödinger equation
von: Fushchich, V. I., et al.
Veröffentlicht: (1993)

Integrable hierarchy of higher nonlinear Schrödinger type equations
von: Kundu, A.
Veröffentlicht: (2006)

Existence of subsonic periodic travelling waves in system of nonlinear coupled nonlinear oscillators on 2D-lattice
von: S. M. Bak
Veröffentlicht: (2014)

Existence of supersonic periodic travelling waves in system of nonlinearly coupled nonlinear oscillators on 2d-lattice
von: S. M. Bak
Veröffentlicht: (2015)

Schrödinger Operators with Purely Discrete Spectrum
von: Simon, B.
Veröffentlicht: (2009)

Kinetic equation for solitons in sine-Gordon and nonlinear Schrödinger equations
von: Baryakhtar, I.V.
Veröffentlicht: (1999)

Self-similar solutions of multi-dimensional nonlinear Schrödinger equations
von: Skoromnaya, S.F., et al.
Veröffentlicht: (2008)

Existence of heteroclinic travelling waves in a system of nonlinear oscillators on two dimensional lattice
von: S. M. Bak
Veröffentlicht: (2014)

Global Existence and Long-Term Behavior of a Nonlinear Schrödinger-Type Equation
von: Soltanov, K. N., et al.
Veröffentlicht: (2015)

Global Existence and Long-Term Behavior of a Nonlinear Schrödinger-Type Equation
von: Soltanov, K.N.
Veröffentlicht: (2015)

Stability of exact solutions of the cubic-quintic nonlinear Schrödinger equation with periodic potential
von: Kengne, E., et al.
Veröffentlicht: (2010)

Generalized Dicke model as an integrable dynamical system inverse to the nonlinear Schrödinger equation
von: Samuliak, R. V., et al.
Veröffentlicht: (1995)

On the Nonlinear Stoneley Wave
von: Ja. Ja. Rushchitskij
Veröffentlicht: (2014)

Existence of the solitary traveling waves for a system of nonlinearly coupled oscillators on the 2d-lattice
von: S. M. Bak
Veröffentlicht: (2017)

Soliton Condensates for the Focusing Nonlinear Schrödinger Equation: a Non-Bound State Case
von: Tovbis, Alexander, et al.
Veröffentlicht: (2024)

Nonlinear field effects in the collector ring due to large-amplitude particle oscillations
von: M. E. Dolinska, et al.
Veröffentlicht: (2022)

Periodic travelling waves in discrete sine-Gordon equation on 2D—lattice
von: S. M. Bak
Veröffentlicht: (2013)

HighOrder nonlinear Schrödinger equation for the envelope of slowly modulated gravity waves on the surface of finite-depth fluid and its quasi-soliton solutions
von: I. S. Gandzha, et al.
Veröffentlicht: (2014)

HighOrder nonlinear Schrödinger equation for the envelope of slowly modulated gravity waves on the surface of finite-depth fluid and its quasi-soliton solutions
von: I. S. Handzha, et al.
Veröffentlicht: (2014)