Families of deformations of the thirteen peregrine breather solutions to the NLS equation depending on twenty four parameters - Archive ouverte HAL Access content directly
Journal Articles Journal of Basic and Applied Research International Year : 2017

Families of deformations of the thirteen peregrine breather solutions to the NLS equation depending on twenty four parameters

Abstract

We go on with the study of the solutions to the focusing one dimensional nonlinear Schrodinger equation (NLS). We construct here the thirteen's Peregrine breather (P13 breather) with its twenty four real parameters, creating deformation solutions to the NLS equation. New families of quasirational solutions to the NLS equation in terms of explicit ratios of polynomials of degree 182 in x and t multiplied by an exponential depending on t are obtained. We present characteristic patterns of the modulus of these solutions in the (x; t) plane, in function of the different parameters.
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Dates and versions

hal-01492325 , version 1 (21-03-2017)

Identifiers

  • HAL Id : hal-01492325 , version 1

Cite

Pierre Gaillard, Mickaël Gastineau. Families of deformations of the thirteen peregrine breather solutions to the NLS equation depending on twenty four parameters. Journal of Basic and Applied Research International , 2017, 21 (3), pp.130-139. ⟨hal-01492325⟩
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