Two-Field Integrable Evolutionary Systems of the Third Order and Their Differential Substitutions

A list of forty third-order exactly integrable two-field evolutionary systems is presented. Differential substitutions connecting various systems from the list are found. It is proved that all the systems can be obtained from only two of them. Examples of zero curvature representations with 4 × 4 ma...

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Bibliographic Details
Main Authors: Maxim Ju. Balakhnev, Anatoly G. Meshkov
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2008-02-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
Online Access:http://dx.doi.org/10.3842/SIGMA.2008.018