The fifth order Peregrine breather and its eight-parameters deformations solutions of the NLS equation.

Abstract : We construct here new deformations of the Peregrine breather of order 5 with 8 real parameters. This gives new families of quasi-rational solutions of the NLS equation and thus one can describe in a more precise way the phenomena of appearance of multi rogue waves. With this method, we construct new patterns of different types of rogue waves. We get at the same time, the triangular configurations as well as rings isolated. Moreover, one sees appearing for certain values of the parameters, new configurations of concentric rings.
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https://hal.archives-ouvertes.fr/hal-00819359
Contributor : Pierre Gaillard <>
Submitted on : Tuesday, April 30, 2013 - 9:27:33 PM
Last modification on : Friday, June 8, 2018 - 2:50:07 PM
Long-term archiving on : Wednesday, July 31, 2013 - 5:10:28 AM

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Pierre Gaillard. The fifth order Peregrine breather and its eight-parameters deformations solutions of the NLS equation.. 2013. ⟨hal-00819359⟩

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