Higher order Peregrine breathers, their deformations and multi-rogue waves

Physics and Mathematics of Nonlinear Phenomena 2013

Gaillard, P.^1

Université de Bourgogne, Campus de Mirande, 9 Avenue Alain Savary, 21000 Dijon, France^1

关键词: Concentric rings;    Higher-order;    NLS equations;    Rational solution;    Rogue waves;    Triangular configuration;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/482/1/012016/pdf
DOI  :  10.1088/1742-6596/482/1/012016

来源: IOP

【 摘 要 】

We study the solutions of the one dimensional focusing NLS equation. Here we construct new deformations of the Peregrine breather of order 7 with 12 real parameters. We obtain new families of quasi-rational solutions of the NLS equation. With this method, we construct new patterns of different types of rogue waves. We recover triangular configurations as well as rings isolated. As already seen in the previous studies, one sees appearing for certain values of the parameters, new configurations of concentric rings.