The elliptic-in-\(t\) solutions of the nonlinear Schrödinger equation

DOI10.1007/BF02071370zbMath0927.35110OpenAlexW2000095073MaRDI QIDQ1292021

Aleksandr Olegovich Smirnov

Publication date: 13 December 1999

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

Full work available at URL: https://doi.org/10.1007/bf02071370

zbMATH Keywords

nonlinear Schrödinger equationfinite-gap solutionsdouble-periodic-in-\(t\) solutions

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Elliptic curves (14H52)

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Cites Work

• Hamiltonian methods in the theory of solitons. Transl. from the Russian by A. G. Reyman
• Tangential polynomials and elliptic solitons
• Poisson brackets associated with the classical Yang-Baxter equation
• Finite-gap elliptic solutions of the KdV equation
• Rational and elliptic solutions of the korteweg-de vries equation and a related many-body problem
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