RT Journal Article
T1 Solutions by Quadratures of Complex Bernoulli Differential Equations and Their Quantum Deformation
A1 Campoamor Stursberg, Otto-Rudwig
A1 Fernández Saiz, Eduardo
A1 Herranz, Francisco J.
AB It is shown that the complex Bernoulli differential equations admitting the supplementary structure of a Lie–Hamilton system related to the book algebra b2 can always be solved by quadratures, providing an explicit solution of the equations. In addition, considering the quantum deformation of Bernoulli equations, their canonical form is obtained and an exact solution by quadratures is deduced as well. It is further shown that the approximations of k th-order in the deformation parameter from the quantum deformation are also integrable by quadratures, although an explicit solution cannot be obtained in general. Finally, the multidimensional quantum deformation of the book Lie–Hamilton systems is studied, showing that, in contrast to the multidimensional analogue of the undeformed system, the resulting system is coupled in a nontrivial form.
PB MDPI
YR 2023
FD 2023
LK https://hdl.handle.net/20.500.14352/104500
UL https://hdl.handle.net/20.500.14352/104500
LA eng
NO Ministerio de Ciecia e Innovación
DS Docta Complutense
RD 10 abr 2025