Sergey Ya. Startsev, “On Non-Point Invertible Transformations of Difference and Differential-Difference Equations”, SIGMA, 2010, том 6,092, 14 стр.

Эта публикация цитируется в 15 статьях

On Non-Point Invertible Transformations of Difference and Differential-Difference Equations

Sergey Ya. Startsev

Ufa Institute of Mathematics, Russian Academy of Sciences, 112 Chernyshevsky Str., Ufa, 450077, Russia

Аннотация: Non-point invertible transformations are completely described for difference equations on the quad-graph and for their differential-difference analogues. As an illustration, these transformations are used to construct new examples of integrable equations and autotransformations of the Hietarinta equation.

Ключевые слова: non-point transformation; Darboux integrability; discrete Liouville equation; higher symmetry.

MSC: 39A14; 34K99; 37K35

Поступила: 4 октября 2010 г.; в окончательном варианте 3 декабря 2010 г.; опубликована 11 декабря 2010 г.

Язык публикации: английский

DOI: 10.3842/SIGMA.2010.092