Eighth order Peregrine breather solution of the NLS equation and their deformations with fourteen parameters.

6533b827fe1ef96bd12858e2

RESEARCH PRODUCT

Eighth order Peregrine breather solution of the NLS equation and their deformations with fourteen parameters.

subject

NLS equation Akhmediev's solutions.[MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph]Peregrine breathers [ MATH.MATH-MP ] Mathematics [math]/Mathematical Physics [math-ph]Akhmediev's solutions [MATH.MATH-MP] Mathematics [math]/Mathematical Physics [math-ph]

description

We construct new families of quasi-rational solutions of the NLS equation of order 8 with 14 real parameters. We obtain new patterns of different types of rogue waves. We recover the triangular configurations as well as rings isolated as found for the lower orders. Moreover, one sees appearing for certain values of the parameters, new configurations of concentric rings.

year	journal	country	edition	language
2014-03-08

https://hal.science/hal-00927132v2

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