Families of deformations of the twelfth Peregrine breather solutions to the NLS equation with twenty two parametersReport as inadecuate




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Abstract : The twelfth Peregrine breather P12 breather solution to the focusing one dimensional nonlinear Schrödinger equation NLS with its twenty two real parameters deformations solutions to the NLS equation are explicitly constructed here. New families of quasi-rational solutions of the NLS equation in terms of explicit quotients of polynomials of degree 156 in x and t by a product of an exponential depending on t are obtained. The patterns of the modulus of these solutions in the x; t plane, in function of the different parameters are studied in details.

Keywords : NLS equation wronskians Peregrine breather rogue waves 1





Author: Pierre Gaillard - Mickaël Gastineau -

Source: https://hal.archives-ouvertes.fr/



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