Multi-rogue wave and multi-breather solutions in PT-symmetric coupled waveguides

Chao Qing Dai; Wen Hua Huang

doi:10.1016/j.aml.2014.02.013

Multi-rogue wave and multi-breather solutions in PT-symmetric coupled waveguides

Chao Qing Dai^*, Wen Hua Huang

^*Corresponding author for this work

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

46 Citations (Scopus)

Abstract

The coupled nonlinear Schrödinger equation in parity-time symmetric coupled waveguides is studied by means of the modified Darboux transformation method. The hierarchies of rational solutions and breather solutions are generated from the plane wave solution. Some basic properties of multi-rogue waves and multi-breathers including the superposed Kuznetsov-Ma solitons, Akhmediev breathers and their combined structures are discussed. Our results might provide useful information for potential applications of synthetic parity-time symmetric systems in nonlinear optics and condensed matter physics.

Original language	English
Pages (from-to)	35-40
Number of pages	6
Journal	Applied Mathematics Letters
Volume	32
Issue number	1
DOIs	https://doi.org/10.1016/j.aml.2014.02.013
Publication status	Published - Jun 2014

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10.1016/j.aml.2014.02.013

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title = "Multi-rogue wave and multi-breather solutions in PT-symmetric coupled waveguides",

abstract = "The coupled nonlinear Schr{\"o}dinger equation in parity-time symmetric coupled waveguides is studied by means of the modified Darboux transformation method. The hierarchies of rational solutions and breather solutions are generated from the plane wave solution. Some basic properties of multi-rogue waves and multi-breathers including the superposed Kuznetsov-Ma solitons, Akhmediev breathers and their combined structures are discussed. Our results might provide useful information for potential applications of synthetic parity-time symmetric systems in nonlinear optics and condensed matter physics.",

keywords = "Coupled nonlinear Schr{\"o}dinger equation, Modified Darboux transformation, Multi-breathers, Multi-rogue waves",

author = "Dai, \{Chao Qing\} and Huang, \{Wen Hua\}",

year = "2014",

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doi = "10.1016/j.aml.2014.02.013",

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journal = "Applied Mathematics Letters",

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T1 - Multi-rogue wave and multi-breather solutions in PT-symmetric coupled waveguides

AU - Dai, Chao Qing

AU - Huang, Wen Hua

PY - 2014/6

Y1 - 2014/6

N2 - The coupled nonlinear Schrödinger equation in parity-time symmetric coupled waveguides is studied by means of the modified Darboux transformation method. The hierarchies of rational solutions and breather solutions are generated from the plane wave solution. Some basic properties of multi-rogue waves and multi-breathers including the superposed Kuznetsov-Ma solitons, Akhmediev breathers and their combined structures are discussed. Our results might provide useful information for potential applications of synthetic parity-time symmetric systems in nonlinear optics and condensed matter physics.

AB - The coupled nonlinear Schrödinger equation in parity-time symmetric coupled waveguides is studied by means of the modified Darboux transformation method. The hierarchies of rational solutions and breather solutions are generated from the plane wave solution. Some basic properties of multi-rogue waves and multi-breathers including the superposed Kuznetsov-Ma solitons, Akhmediev breathers and their combined structures are discussed. Our results might provide useful information for potential applications of synthetic parity-time symmetric systems in nonlinear optics and condensed matter physics.

KW - Coupled nonlinear Schrödinger equation

KW - Modified Darboux transformation

KW - Multi-breathers

KW - Multi-rogue waves

UR - https://www.scopus.com/pages/publications/84896533607

U2 - 10.1016/j.aml.2014.02.013

DO - 10.1016/j.aml.2014.02.013

M3 - Article

SN - 0893-9659

VL - 32

SP - 35

EP - 40

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

IS - 1

ER -

Multi-rogue wave and multi-breather solutions in PT-symmetric coupled waveguides

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