TITLE:
Wronskian Representation of Solutions of NLS Equation, and Seventh Order Rogue Wave
AUTHORS:
Pierre Gaillard
KEYWORDS:
Riemann Theta Functions; Fredholm Determinant; Wronskian; NLS Equation; Peregrine Breathers; Akhmediev Solutions
JOURNAL NAME:
Journal of Modern Physics,
Vol.4 No.2,
February
27,
2013
ABSTRACT: In this paper, we use the representation of the solutions of the focusing nonlinear Schrodinger equation we have constructed recently, in terms of wronskians; when we perform a special passage to the limit, we get quasi-rational solutions expressed as a ratio of two determinants. We have already construct breathers of orders N = 4, 5, 6 in preceding works; we give here the breather of order seven.