Exact solutions of the two-dimensional discrete nonlinear Schrodinger equation with saturable nonlinearity

A. Khare; K. O. Rasmussen; Mogens Rugholm Samuelsen; A. Saxena

doi:10.1088/1751-8113/43/37/375209

Exact solutions of the two-dimensional discrete nonlinear Schrodinger equation with saturable nonlinearity

A. Khare
, K. O. Rasmussen
, Mogens Rugholm Samuelsen
, A. Saxena

Department of Physics

Research output: Contribution to journal › Journal article › Research › peer-review

Abstract

We show that the two-dimensional, nonlinear Schrodinger lattice with a saturable nonlinearity admits periodic and pulse-like exact solutions. We establish the general formalism for the stability considerations of these solutions and give examples of stability diagrams. Finally, we show that the effective Peierls-Nabarro barrier for the pulse-like soliton solution is zero.

Original language	English
Journal	Journal of Physics A: Mathematical and Theoretical
Volume	43
Issue number	37
ISSN	1751-8113
DOIs	https://doi.org/10.1088/1751-8113/43/37/375209
Publication status	Published - 2010

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title = "Exact solutions of the two-dimensional discrete nonlinear Schrodinger equation with saturable nonlinearity",

abstract = "We show that the two-dimensional, nonlinear Schrodinger lattice with a saturable nonlinearity admits periodic and pulse-like exact solutions. We establish the general formalism for the stability considerations of these solutions and give examples of stability diagrams. Finally, we show that the effective Peierls-Nabarro barrier for the pulse-like soliton solution is zero.",

author = "A. Khare and Rasmussen, \{K. O.\} and Samuelsen, \{Mogens Rugholm\} and A. Saxena",

year = "2010",

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T1 - Exact solutions of the two-dimensional discrete nonlinear Schrodinger equation with saturable nonlinearity

AU - Khare, A.

AU - Rasmussen, K. O.

AU - Samuelsen, Mogens Rugholm

AU - Saxena, A.

PY - 2010

Y1 - 2010

N2 - We show that the two-dimensional, nonlinear Schrodinger lattice with a saturable nonlinearity admits periodic and pulse-like exact solutions. We establish the general formalism for the stability considerations of these solutions and give examples of stability diagrams. Finally, we show that the effective Peierls-Nabarro barrier for the pulse-like soliton solution is zero.

AB - We show that the two-dimensional, nonlinear Schrodinger lattice with a saturable nonlinearity admits periodic and pulse-like exact solutions. We establish the general formalism for the stability considerations of these solutions and give examples of stability diagrams. Finally, we show that the effective Peierls-Nabarro barrier for the pulse-like soliton solution is zero.

U2 - 10.1088/1751-8113/43/37/375209

DO - 10.1088/1751-8113/43/37/375209

M3 - Journal article

SN - 1751-8113

VL - 43

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

IS - 37

ER -

Exact solutions of the two-dimensional discrete nonlinear Schrodinger equation with saturable nonlinearity

Abstract

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