Literature DB >> 23006091

Solutions of the vector nonlinear Schrödinger equations: evidence for deterministic rogue waves.

Fabio Baronio1, Antonio Degasperis, Matteo Conforti, Stefan Wabnitz.   

Abstract

We construct and discuss a semirational, multiparametric vector solution of coupled nonlinear Schrödinger equations (Manakov system). This family of solutions includes known vector Peregrine solutions, bright- and dark-rogue solutions, and novel vector unusual freak waves. The vector rogue waves could be of great interest in a variety of complex systems, from optics and fluid dynamics to Bose-Einstein condensates and finance.

Entities:  

Year:  2012        PMID: 23006091     DOI: 10.1103/PhysRevLett.109.044102

Source DB:  PubMed          Journal:  Phys Rev Lett        ISSN: 0031-9007            Impact factor:   9.161


  7 in total

1.  Theoretical and experimental evidence of non-symmetric doubly localized rogue waves.

Authors:  Jingsong He; Lijuan Guo; Yongshuai Zhang; Amin Chabchoub
Journal:  Proc Math Phys Eng Sci       Date:  2014-11-08       Impact factor: 2.704

2.  The general coupled Hirota equations: modulational instability and higher-order vector rogue wave and multi-dark soliton structures.

Authors:  Guoqiang Zhang; Zhenya Yan; Li Wang
Journal:  Proc Math Phys Eng Sci       Date:  2019-02-06       Impact factor: 2.704

3.  General rogue wave solutions of the coupled Fokas-Lenells equations and non-recursive Darboux transformation.

Authors:  Yanlin Ye; Yi Zhou; Shihua Chen; Fabio Baronio; Philippe Grelu
Journal:  Proc Math Phys Eng Sci       Date:  2019-04-17       Impact factor: 2.704

4.  Modulational instability, beak-shaped rogue waves, multi-dark-dark solitons and dynamics in pair-transition-coupled nonlinear Schrödinger equations.

Authors:  Guoqiang Zhang; Zhenya Yan; Xiao-Yong Wen
Journal:  Proc Math Phys Eng Sci       Date:  2017-07-26       Impact factor: 2.704

5.  Matter rogue waves for the three-component Gross-Pitaevskii equations in the spinor Bose-Einstein condensates.

Authors:  Wen-Rong Sun; Lei Wang
Journal:  Proc Math Phys Eng Sci       Date:  2018-01-03       Impact factor: 2.704

6.  Non-autonomous multi-rogue waves for spin-1 coupled nonlinear Gross-Pitaevskii equation and management by external potentials.

Authors:  Li Li; Fajun Yu
Journal:  Sci Rep       Date:  2017-09-06       Impact factor: 4.379

7.  Controlled generation of high-intensity optical rogue waves by induced modulation instability.

Authors:  Saili Zhao; Hua Yang; Nengsong Chen; Chujun Zhao
Journal:  Sci Rep       Date:  2017-01-04       Impact factor: 4.379

  7 in total

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