Wronskian Representation of Solutions of NLS Equation, and Seventh Order Rogue Wave

Pierre  Gaillard

doi:10.4236/jmp.2013.42035

Pierre Gaillard^*

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.

Keywords: Riemann Theta Functions; Fredholm Determinant; Wronskian; NLS Equation; Peregrine Breathers; Akhmediev Solutions

Cite this paper: P. Gaillard, "Wronskian Representation of Solutions of NLS Equation, and Seventh Order Rogue Wave," Journal of Modern Physics, Vol. 4 No. 2, 2013, pp. 246-266. doi: 10.4236/jmp.2013.42035.

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