Darboux transformation and some multi-phase solutions of the Dodd-Bullough-Tzitzeica equation: \(U_{xt}=e^ U-e^{-2U}\).

DOI10.1016/0375-9601(95)00955-8zbMath1072.35555OpenAlexW2005515818MaRDI QIDQ1967756

Yurii V. Brezhnev

Publication date: 7 March 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0375-9601(95)00955-8

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Solutions to PDEs in closed form (35C05)

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Cites Work

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• Bäcklund transformations for the sine–Gordon equations
• On an old article of Tzitzeica and the inverse scattering method
• Third order spectral problems: reductions and Darboux transformations
• The affinspharen equation. Moutard and Backlund transformations