Twenty Two Parameter Deformations of the Twelfth Peregrine Breather Solutions to the NLS Equation - Archive ouverte HAL Access content directly
Journal Articles Advances in Research Year : 2016

Twenty Two Parameter Deformations of the Twelfth Peregrine Breather Solutions to the NLS Equation

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.
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Dates and versions

hal-01299469 , version 1 (07-04-2016)

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Pierre Gaillard, Mickaël Gastineau. Twenty Two Parameter Deformations of the Twelfth Peregrine Breather Solutions to the NLS Equation. Advances in Research, 2016, 7 (2), pp.1-11. ⟨10.9734/AIR/2016/25636⟩. ⟨hal-01299469⟩
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