6533b86cfe1ef96bd12c8a78

RESEARCH PRODUCT

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

Pierre Gaillard

subject

PhysicsNLS equationPhysics and Astronomy (miscellaneous)BreatherPeregrine breathers[ MATH.MATH-MP ] Mathematics [math]/Mathematical Physics [math-ph]Order (ring theory)01 natural sciencesConcentric ring010305 fluids & plasmasAkhmediev's solutions.35Q55; 37K10Classical mechanics[MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph]Wronskians0103 physical sciencesPeregrine solitonAkhmediev's solutionsRogue wave[MATH.MATH-MP] Mathematics [math]/Mathematical Physics [math-ph]010306 general physicsNonlinear Sciences::Pattern Formation and Solitons

description

We construct here explicitly 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.

yearjournalcountryeditionlanguage
2013-04-30
https://hal.science/hal-00819359