TY - EJOUR
PY - 2023
DA - November
TI - Patterns of deformations of Peregrine breather of order 3 and 4 solutions to the NLS equation with multi parameters
T2 - Journal of Theoretical and Applied Physics
VL - 10
L1 - https://oiccpress.com/journal-of-theoretical-and-applied-physics/article/patterns-of-deformations-of-peregrine-breather-of-order-3-and-4-solutions-to-the-nls-equation-with-multi-parameters/
DO - 10.1007/s40094-015-0204-6
N2 - AbstractIn this article, one gives a classification of the solutions to the one dimensional nonlinear focusing Schrödinger equation (NLS) by considering the modulus of the solutions in the (x, t) plan in the cases of orders 3 and 4. For this, we use a representation of solutions to NLS equation as a quotient of two determinants by an exponential depending on t. This formulation gives in the case of the order 3 and 4, solutions with, respectively 4 and 6 parameters. With this method, beside Peregrine breathers, we construct all characteristic patterns for the modulus of solutions, like triangular configurations, ring and others.
IS - 2
PB - OICC Press
KW - NLS equation, Peregrine breathers, Rogue waves 
EN -