Search results for "Fredhom determinants"

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Tenth Peregrine breather solution of the NLS equation.

2012

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.

NLS equation[MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph]WronskiansPeregrine breathersRogue waves[ MATH.MATH-MP ] Mathematics [math]/Mathematical Physics [math-ph]Fredhom determinantsPeregrine breathers.[MATH.MATH-MP] Mathematics [math]/Mathematical Physics [math-ph]Nonlinear Sciences::Pattern Formation and Solitons

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