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

Symmetry Integrability and Geometry-Methods and Applications

article

Sergey Ya. Startsev¹ 

[1] Ufa Institute of Mathematics, Russian Academy of Sciences

关键词: non-point transformation;    Darboux integrability;    discrete Liouville equation;    higher symmetry;   

DOI  :  10.3842/SIGMA.2010.092

来源: National Academy of Science of Ukraine

【 摘 要 】

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.

【 授权许可】

Unknown