Tenth Peregrine breather solution of the NLS equation.

Abstract : We go on in this paper, in the study of the solutions of the focusing NLS equation. With a new representation given in a preceding paper, a very compact formulation without limit as a quotient of two determinants, we construct the Peregrine breather of order N=10. The explicit analytical expression of the Akhmediev's solution is completely given.
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Submitted on : Saturday, December 8, 2012 - 11:49:24 AM
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Pierre Gaillard. Tenth Peregrine breather solution of the NLS equation.. 2012. ⟨hal-00743859v2⟩

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