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

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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 $4 \times 4$ matrices are presented.
Published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/

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Exactly Solvable and Integrable Systems, Mathematical Physics

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http://salesiana.dossiersoluciones.com/handle/123456789/159648

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0802.1253
 http://arxiv.org/abs/0802.1253
 SIGMA 4 (2008), 018, 29 pages
 doi:10.3842/SIGMA.2008.018

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arXiv