Article citationsMore>>

P. Gaillard, “Families of Quasi-Rational Solutions of the NLS Equation and Multi-Rogue Waves,” Journal of Physics A: Mathematical and Theoretical, Vol. 44, No. 43, 2011, pp. 1-15. doi:10.1088/1751-8113/44/43/435204

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.