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Wronskian Representation of Solutions of NLS Equation, and Seventh Order Rogue Wave
Université de Bourgogne, Dijon, France
- 1 Université de Bourgogne, Dijon, France
Journal of Modern Physics·Volume 04 (2013)·Pages 246–266·Published 5 February 2013·DOI10.4236/jmp.2013.42035
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Abstract
In this paper, we use the representation of the solutions of the focusing nonlinear Schr o dinger 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.
KeywordsRiemann Theta FunctionsFredholm DeterminantWronskianNLS EquationPeregrine BreathersAkhmediev Solutions
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