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A. Ankiewicz, N. Akhmediev and P. A. Clarkson, “Rogue Waves, Rational Solutions, the Patterns of Their Zeros and Integral Relations,” Journal of Physics A: Mathematical and Theoretical, Vol. 43, 2010, pp. 1-9

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.