Anatoly G.G. Meshkov, Maxim Ju. Balakhnev, “Two-Field Integrable Evolutionary Systems of the Third Order and Their Differential Substitutions”, SIGMA, 2008, том 4,018, 29 стр.

Эта публикация цитируется в 10 статьях

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

Anatoly G.G. Meshkov, Maxim Ju. Balakhnev

Orel State Technical University, Orel, Russia

Аннотация: 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 $4\times4$ matrices are presented.

Ключевые слова: integrability; symmetry; conservation law; differential substitutions; zero curvature representation.

MSC: 37K10; 35Q53; 37K20

Поступила: 4 октября 2007 г.; в окончательном варианте 17 января 2008 г.; опубликована 9 февраля 2008 г.

Язык публикации: английский

DOI: 10.3842/SIGMA.2008.018