The periodic N breather anomalous wave solution of the Davey–Stewartson equations; first appearance, recurrence, and blow up properties

DOI10.1088/1751-8121/ad107barXiv2308.12422MaRDI QIDQ6148961

Paolo Maria Santíni, Petr G. Grinevich, Fabio Coppini

Publication date: 12 January 2024

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2308.12422

zbMATH Keywords

exact solutionblow-upbreathersmodulation instabilityDavey-Stewartsonperiodic Cauchy problem

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Soliton solutions (35C08)

Related Items (1)

The effect of loss/gain and Hamiltonian perturbations of the Ablowitz—Ladik lattice on the recurrence of periodic anomalous waves

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