Exact solutions of the (2+1)-dimensional quintic nonlinear Schrödinger equation with variable coefficients

Si Liu Xu; Nikola Petrović; Milivoj R. Belić

doi:10.1007/s11071-014-1891-2

Exact solutions of the (2+1)-dimensional quintic nonlinear Schrödinger equation with variable coefficients

Si Liu Xu^*, Nikola Petrović, Milivoj R. Belić

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

24 Citations (Scopus)

Abstract

Using the self-similarity transformation, we find analytical spatial bright and dark self-similar solitons, i.e., the similaritons, of the generalized (2+1)-dimensional quintic nonlinear Schrödinger equation with varying diffraction, nonlinearity, and gain. Characteristic examples with physically relevant behavior of these similaritons are studied, and the stability of these solutions is verified with numerical integration.

Original language	English
Pages (from-to)	583-589
Number of pages	7
Journal	Nonlinear Dynamics
Volume	80
Issue number	1-2
DOIs	https://doi.org/10.1007/s11071-014-1891-2
Publication status	Published - Apr 2015
Externally published	Yes

Keywords

Nonlinear optics
Self-similarity transformation
Spatial solitons

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10.1007/s11071-014-1891-2

Cite this

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title = "Exact solutions of the (2+1)-dimensional quintic nonlinear Schr{\"o}dinger equation with variable coefficients",

abstract = "Using the self-similarity transformation, we find analytical spatial bright and dark self-similar solitons, i.e., the similaritons, of the generalized (2+1)-dimensional quintic nonlinear Schr{\"o}dinger equation with varying diffraction, nonlinearity, and gain. Characteristic examples with physically relevant behavior of these similaritons are studied, and the stability of these solutions is verified with numerical integration.",

keywords = "Nonlinear optics, Self-similarity transformation, Spatial solitons",

author = "Xu, \{Si Liu\} and Nikola Petrovi{\'c} and Beli{\'c}, \{Milivoj R.\}",

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month = apr,

doi = "10.1007/s11071-014-1891-2",

language = "English",

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AU - Xu, Si Liu

AU - Petrović, Nikola

AU - Belić, Milivoj R.

PY - 2015/4

Y1 - 2015/4

N2 - Using the self-similarity transformation, we find analytical spatial bright and dark self-similar solitons, i.e., the similaritons, of the generalized (2+1)-dimensional quintic nonlinear Schrödinger equation with varying diffraction, nonlinearity, and gain. Characteristic examples with physically relevant behavior of these similaritons are studied, and the stability of these solutions is verified with numerical integration.

AB - Using the self-similarity transformation, we find analytical spatial bright and dark self-similar solitons, i.e., the similaritons, of the generalized (2+1)-dimensional quintic nonlinear Schrödinger equation with varying diffraction, nonlinearity, and gain. Characteristic examples with physically relevant behavior of these similaritons are studied, and the stability of these solutions is verified with numerical integration.

KW - Nonlinear optics

KW - Self-similarity transformation

KW - Spatial solitons

UR - https://www.scopus.com/pages/publications/84925512136

U2 - 10.1007/s11071-014-1891-2

DO - 10.1007/s11071-014-1891-2

M3 - Article

AN - SCOPUS:84925512136

SN - 0924-090X

VL - 80

SP - 583

EP - 589

JO - Nonlinear Dynamics

JF - Nonlinear Dynamics

IS - 1-2

ER -

Exact solutions of the (2+1)-dimensional quintic nonlinear Schrödinger equation with variable coefficients

Abstract

Keywords

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