Rogue wave patterns in the nonlinear Schrödinger equation

DOI10.1016/j.physd.2021.132850zbMath1492.37066arXiv2101.00383OpenAlexW3121837458MaRDI QIDQ2077876

Bo Yang, Jianke Yang

Publication date: 22 February 2022

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.00383

zbMATH Keywords

asymptoticspattern formationrogue waves

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) 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 theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Pattern formations in context of PDEs (35B36)

Related Items (17)

Higher-order rogue wave solutions of the Sasa–Satsuma equation ⋮ Broader universality of rogue waves of infinite order ⋮ Pattern transformation in higher-order lumps of the Kadomtsev-Petviashvili I equation ⋮ The Davey-Stewartson I equation: doubly localized two-dimensional rogue lumps on the background of homoclinic orbits or constant ⋮ Representing rogue waves in minimal form ⋮ A direct method for generating rogue wave solutions to the \((3+1)\)-dimensional Korteweg-de Vries Benjamin-Bona-Mahony equation ⋮ Kadomtsev-Petviashvili equation: one-constraint method and lump pattern ⋮ Rogue waves in (2+1)-dimensional three-wave resonant interactions ⋮ Rogue waves and their patterns in the vector nonlinear Schrödinger equation ⋮ Partial-rogue waves that come from nowhere but leave with a trace in the Sasa-Satsuma equation ⋮ Rogue wave patterns associated with Okamoto polynomial hierarchies ⋮ Rogue waves in the massive Thirring model ⋮ Asymptotic analysis of the higher-order lump in the Davey-Stewartson I equation ⋮ The two-dimensional Leznov lattice equation and its various solutions ⋮ Multi-component nonlinear Schrödinger equations with nonzero boundary conditions: higher-order vector Peregrine solitons and asymptotic estimates ⋮ Universal rogue wave patterns associated with the Yablonskii-Vorob'ev polynomial hierarchy ⋮ Generation mechanism of high-order rogue waves via the improved long-wave limit method: NLS case

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