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RESEARCH PRODUCT

Tenth Peregrine breather solution to the NLS equation

Pierre Gaillard

subject

PhysicsBreatherGeneral Physics and AstronomyExpression (computer science)symbols.namesakesymbolsPeregrine solitonLimit (mathematics)Rogue waveRepresentation (mathematics)Nonlinear Sciences::Pattern Formation and SolitonsNonlinear Schrödinger equationQuotientMathematical physics

description

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.

https://doi.org/10.1016/j.aop.2015.01.027