1306.0803 (Emin Özçağ et al.)

Differential-algebraic approach to constructing representations of
commuting differentiations in functional spaces and its application to
nonlinear integrable dynamical systems    [PDF]

Emin Özçağ, Kamal Soltanov, Anatolij K. Prykarpatski

There is developed a differential-algebraic approach to studying the representations of commuting differentiations in functional differential rings under nonlinear differential constraints. An example of the differential ideal with the only one conserved quantity is analyzed in detail, the corresponding Lax type representations of differentiations are constructed for an infinite hierarchy of nonlinear dynamical systems of the Burgers and Korteweg-de Vries type.

View original: http://arxiv.org/abs/1306.0803