P. Gaillard, “Wronskian Representation of Solutions of the NLS Equation and Higher Peregrine Breathers,” Journal of Mathematical Sciences: Advances and Applications, Vol. 13, No. 2, 2012, pp. 71-153.

has been cited by the following article:

• 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.