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

DOI: 10.4236/jmp.2013.42035, PP. 246-266

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

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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.

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