P. Dubard, P. Gaillard, C. Klein and V. B. Matveev, “On Multi-Rogue Waves Solutions of the NLS Equation and Position Solutions of the KdV Equation,” European Physical Journal, Vol. 185, No. 1, 2010, pp. 247-258. doi:10.1140/epjst/e2010-01252-9

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.