Abstract
Recently we highlighted the remarkable nature of an explicitly invertible transformation, we reported some generalizations of it and examples of its expediency in several mathematical contexts: algebraic and Diophantine equations, dynamical systems (with continuous and discrete time), nonlinear PDEs, analytical geometry, functional equations. In this paper we report a significant generalization of this approach and we again illustrate via some analogous examples its expediency to identify problems which appear far from trivial but are in fact explicitly solvable.
| Original language | English |
|---|---|
| Pages (from-to) | 519-540 |
| Journal | Journal of Nonlinear Mathematical Physics |
| Volume | 18 |
| Issue number | 04 |
| DOIs | |
| Publication status | Published - 2011 |
Keywords
- explicitly invertible transformations
- solvable algebraic equations
- Diophantine equations
- isochronous discrete-time dynamical systems
- solvable systems of nonlinear PDEs
- solvable nonautonomous PDEs
- functional equations