TY - EJOUR
AU - Gaillard, Pierre
PY - 2023
DA - November
TI - Two-parameter determinant representation of seventh order rogue wave solutions of the NLS equation
T2 - Journal of Theoretical and Applied Physics
VL - 7
L1 - https://oiccpress.com/journal-of-theoretical-and-applied-physics/article/two-parameter-determinant-representation-of-seventh-order-rogue-wave-solutions-of-the-nls-equation/
DO - 10.1186/2251-7235-7-45
N2 - AbstractWe present a new representation of solutions of focusing nonlinear Schrödinger equation (NLS) equation as a quotient of two determinants. We construct families of quasi-rational solutions of the NLS equation depending on two parameters, a and b. We construct, for the first time, analytical expressions of Peregrine breather of order 7 and multi-rogue waves by deformation of parameters. These expressions make possible to understand the behavior of the solutions. In the case of the Peregrine breather of order 7, it is shown for great values of parameters a or b the appearance of the Peregrine breather of order 5.PACS35Q55; 37K10      
IS - 1
PB - OICC Press
KW - NLS equation, Rogue waves, Akhmediev’s solutions, Peregrine breather, Wronskians determinants 
EN -