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

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DOI: 10.4236/jmp.2013.42035    4,401 Downloads   6,702 Views   Citations
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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.

Conflicts of Interest

The authors declare no conflicts of interest.

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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