Effective integration of ultra-elliptic solutions of the focusing nonlinear Schrödinger equation
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Publication:2357530
DOI10.1016/j.physd.2016.03.002zbMath1364.35345arXiv1505.03120OpenAlexW2151340570MaRDI QIDQ2357530
Publication date: 14 June 2017
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1505.03120
NLS equations (nonlinear Schrödinger equations) (35Q55) Analytic theory of abelian varieties; abelian integrals and differentials (14K20) Polynomial solutions to PDEs (35C11)
Related Items (8)
Effective integration of ultra-elliptic solutions of the focusing nonlinear Schrödinger equation ⋮ Rogue periodic waves of the focusing nonlinear Schrödinger equation ⋮ Rogue periodic waves of the modified KdV equation ⋮ Maximal amplitudes of finite-gap solutions for the focusing nonlinear Schrödinger equation ⋮ Multi-elliptic-dark soliton solutions of the defocusing nonlinear Schrödinger equation ⋮ Bounded ultra-elliptic solutions of the defocusing nonlinear Schrödinger equation ⋮ Sharp upper bound for amplitudes of hyperelliptic solutions of the focusing nonlinear Schrödinger equation ⋮ Periodic travelling waves of the modified KdV equation and rogue waves on the periodic background
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Cites Work
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