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

Jingsong He*, Lijuan Guo, Yongshuai Zhang, Amin Chabchoub

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

31 Citations (Scopus)

Abstract

We present determinant expressions for vector rogue wave (RW) solutions of the Manakov system, a two-component coupled nonlinear Schrödinger (NLS) equation. As a special case, we generate a family of exact and non-symmetric RW solutions of the NLS equation up to third order, localized in both space and time. The derived non-symmetric doubly localized second-order solution is generated experimentally in a water wave flume for deep-water conditions. Experimental results, confirming the characteristic non-symmetric pattern of the solution, are in very good agreement with theory as well as with numerical simulations, based on the modified NLS equation, known to model accurately the dynamics of weakly nonlinear wave packets in deep water.

Original languageEnglish
JournalPROCEEDINGS OF THE ROYAL SOCIETY A: MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
Volume470
Issue number2171
DOIs
Publication statusPublished - 8 Nov 2014
MoE publication typeA1 Journal article-refereed

Keywords

  • Darboux transformation
  • Non-symmetric rogue waves
  • Nonlinear Schrödinger equation

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