Search results for "MSC: 35Q55"

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

2017

International audience; 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.

NLS equationNonlinear Sciences::Exactly Solvable and Integrable SystemsPeregrine breather[MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph]MSC: 35Q55 37K10Rogue waves[ MATH.MATH-MP ] Mathematics [math]/Mathematical Physics [math-ph][MATH.MATH-MP] Mathematics [math]/Mathematical Physics [math-ph]Nonlinear Sciences::Pattern Formation and Solitons
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