Two-dimensional rogue waves on zero background in a Benney-Roskes model

A prototypical example of a rogue wave (RW) structure in a two-dimensional (2D) nonlocal, nonlinear Schrödinger model, namely, a variant of the Benney-Roskes (BR) system, is presented. The analytical methodology involves a Taylor series expansion of an eigenfunction of the model's Lax pair, whi...

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Bibliographic Details
Main Authors: Lijuan Guo, Jingsong He, Lihong Wang, Yi Cheng, D. J. Frantzeskakis, T. S. van den Bremer, P. G. Kevrekidis
Format: Article
Language:English
Published: American Physical Society 2020-09-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.2.033376