Solitary waves in the nonlinear Schrödinger equation with spatially modulated Bessel nonlinearity

Wei Ping Zhong; Milivoj R. Belić; Tingwen Huang

doi:10.1364/JOSAB.30.001276

Solitary waves in the nonlinear Schrödinger equation with spatially modulated Bessel nonlinearity

Wei Ping Zhong^*, Milivoj R. Belić, Tingwen Huang

^*Corresponding author for this work

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

31 Citations (Scopus)

Abstract

Using multivariate self-similarity transformation, we construct explicit spatial bright and dark solitary wave solutions of the generalized nonlinear Schrödinger equation with spatially Bessel-modulated nonlinearity and an external potential. Special kinds of explicit solutions, such as periodically breathing bright and dark solitary waves, are discussed in detail. The stability of these solutions is verified by means of direct numerical simulation.

Original language	English
Pages (from-to)	1276-1283
Number of pages	8
Journal	Journal of the Optical Society of America B: Optical Physics
Volume	30
Issue number	5
DOIs	https://doi.org/10.1364/JOSAB.30.001276
Publication status	Published - May 2013
Externally published	Yes

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title = "Solitary waves in the nonlinear Schr{\"o}dinger equation with spatially modulated Bessel nonlinearity",

abstract = "Using multivariate self-similarity transformation, we construct explicit spatial bright and dark solitary wave solutions of the generalized nonlinear Schr{\"o}dinger equation with spatially Bessel-modulated nonlinearity and an external potential. Special kinds of explicit solutions, such as periodically breathing bright and dark solitary waves, are discussed in detail. The stability of these solutions is verified by means of direct numerical simulation.",

author = "Zhong, {Wei Ping} and Beli{\'c}, {Milivoj R.} and Tingwen Huang",

year = "2013",

month = may,

doi = "10.1364/JOSAB.30.001276",

language = "English",

volume = "30",

pages = "1276--1283",

journal = "Journal of the Optical Society of America B: Optical Physics",

issn = "0740-3224",

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number = "5",

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T1 - Solitary waves in the nonlinear Schrödinger equation with spatially modulated Bessel nonlinearity

AU - Zhong, Wei Ping

AU - Belić, Milivoj R.

AU - Huang, Tingwen

PY - 2013/5

Y1 - 2013/5

N2 - Using multivariate self-similarity transformation, we construct explicit spatial bright and dark solitary wave solutions of the generalized nonlinear Schrödinger equation with spatially Bessel-modulated nonlinearity and an external potential. Special kinds of explicit solutions, such as periodically breathing bright and dark solitary waves, are discussed in detail. The stability of these solutions is verified by means of direct numerical simulation.

AB - Using multivariate self-similarity transformation, we construct explicit spatial bright and dark solitary wave solutions of the generalized nonlinear Schrödinger equation with spatially Bessel-modulated nonlinearity and an external potential. Special kinds of explicit solutions, such as periodically breathing bright and dark solitary waves, are discussed in detail. The stability of these solutions is verified by means of direct numerical simulation.

UR - http://www.scopus.com/inward/record.url?scp=84878382463&partnerID=8YFLogxK

U2 - 10.1364/JOSAB.30.001276

DO - 10.1364/JOSAB.30.001276

M3 - Article

AN - SCOPUS:84878382463

SN - 0740-3224

VL - 30

SP - 1276

EP - 1283

JO - Journal of the Optical Society of America B: Optical Physics

JF - Journal of the Optical Society of America B: Optical Physics

IS - 5

ER -

Solitary waves in the nonlinear Schrödinger equation with spatially modulated Bessel nonlinearity

Abstract

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