Periodic two-phase ``rogue waves
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Publication:2439998
DOI10.1134/S0001434613110266zbMath1286.35232WikidataQ57936720 ScholiaQ57936720MaRDI QIDQ2439998
Publication date: 26 March 2014
Published in: Mathematical Notes (Search for Journal in Brave)
finite-gap integrationfocusing nonlinear Schrödinger equationcycle basis``rogue waveamplitude peakmultiphase solutionperiodic two-gap solution
Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) NLS equations (nonlinear Schrödinger equations) (35Q55)
Related Items (6)
Solutions of the Ablowitz-Kaup-Newell-Segur hierarchy equations of the ``rogue wave type: a unified approach ⋮ Elliptic solitons and “freak waves” ⋮ Rogue waves: New forms enabled by GPU computing ⋮ Finite-gap solutions of nonlocal equations in Ablowitz-Kaup-Newell-Segur hierarchy ⋮ Two-phase periodic solutions to the AKNS hierarchy equations ⋮ Relationships between hyperelliptic functions of genus 2 and elliptic functions
Cites Work
- Two-gap two-elliptic solution of Boussinesq equation
- Waves that appear from nowhere and disappear without a trace
- Rogue wave triplets
- A modified nonlinear Schrödinger equation for broader bandwidth gravity waves on deep water
- Theta functions on Riemann surfaces
- On weakly nonlinear modulation of waves on deep water
- Note on a modification to the nonlinear Schrödinger equation for application to deep water waves
- General high-order rogue waves and their dynamics in the nonlinear Schrödinger equation
- 30 years of finite-gap integration theory
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