Breather solutions of the nonlocal nonlinear self-focusing Schrödinger equation

Wei Ping Zhong; Zhengping Yang; Milivoj Belić; Wen Ye Zhong

doi:10.1016/j.physleta.2021.127228

Breather solutions of the nonlocal nonlinear self-focusing Schrödinger equation

Wei Ping Zhong^*, Zhengping Yang, Milivoj Belić, Wen Ye Zhong

^*Corresponding author for this work

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

35 Citations (Scopus)

Abstract

The first- and second-order breather solutions of the self-focusing nonlocal nonlinear Schrödinger (NNLS) equation are obtained by employing Hirota's bilinear method. The NNSE also happens to be an example of Schrödinger equation with parity-time (PT) symmetry. With the help of recurrence relations in the Hirota bilinear form, the nth-order breather solutions on the nonzero background of the NNLS equation are obtained, and the collision, superposition and separation of transmission modes is studied respectively. When the parameters describing these breathers are selected as some special values, they display plentiful spatial structures which provide effective methods for controlling the localized optical waves in nonlocal nonlinear media.

Original language	English
Article number	127228
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	395
DOIs	https://doi.org/10.1016/j.physleta.2021.127228
Publication status	Published - 16 Apr 2021
Externally published	Yes

Keywords

Breather
Nonlocal nonlinear Schrödinger equation
The Hirota bilinear method

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10.1016/j.physleta.2021.127228

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title = "Breather solutions of the nonlocal nonlinear self-focusing Schr{\"o}dinger equation",

abstract = "The first- and second-order breather solutions of the self-focusing nonlocal nonlinear Schr{\"o}dinger (NNLS) equation are obtained by employing Hirota's bilinear method. The NNSE also happens to be an example of Schr{\"o}dinger equation with parity-time (PT) symmetry. With the help of recurrence relations in the Hirota bilinear form, the nth-order breather solutions on the nonzero background of the NNLS equation are obtained, and the collision, superposition and separation of transmission modes is studied respectively. When the parameters describing these breathers are selected as some special values, they display plentiful spatial structures which provide effective methods for controlling the localized optical waves in nonlocal nonlinear media.",

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author = "Zhong, {Wei Ping} and Zhengping Yang and Milivoj Beli{\'c} and Zhong, {Wen Ye}",

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year = "2021",

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doi = "10.1016/j.physleta.2021.127228",

language = "English",

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T1 - Breather solutions of the nonlocal nonlinear self-focusing Schrödinger equation

AU - Zhong, Wei Ping

AU - Yang, Zhengping

AU - Belić, Milivoj

AU - Zhong, Wen Ye

PY - 2021/4/16

Y1 - 2021/4/16

N2 - The first- and second-order breather solutions of the self-focusing nonlocal nonlinear Schrödinger (NNLS) equation are obtained by employing Hirota's bilinear method. The NNSE also happens to be an example of Schrödinger equation with parity-time (PT) symmetry. With the help of recurrence relations in the Hirota bilinear form, the nth-order breather solutions on the nonzero background of the NNLS equation are obtained, and the collision, superposition and separation of transmission modes is studied respectively. When the parameters describing these breathers are selected as some special values, they display plentiful spatial structures which provide effective methods for controlling the localized optical waves in nonlocal nonlinear media.

AB - The first- and second-order breather solutions of the self-focusing nonlocal nonlinear Schrödinger (NNLS) equation are obtained by employing Hirota's bilinear method. The NNSE also happens to be an example of Schrödinger equation with parity-time (PT) symmetry. With the help of recurrence relations in the Hirota bilinear form, the nth-order breather solutions on the nonzero background of the NNLS equation are obtained, and the collision, superposition and separation of transmission modes is studied respectively. When the parameters describing these breathers are selected as some special values, they display plentiful spatial structures which provide effective methods for controlling the localized optical waves in nonlocal nonlinear media.

KW - Breather

KW - Nonlocal nonlinear Schrödinger equation

KW - The Hirota bilinear method

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U2 - 10.1016/j.physleta.2021.127228

DO - 10.1016/j.physleta.2021.127228

M3 - Article

AN - SCOPUS:85100883712

SN - 0375-9601

VL - 395

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

M1 - 127228

ER -

Breather solutions of the nonlocal nonlinear self-focusing Schrödinger equation

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Keywords

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