Generalization of an invertible transformation and examples of its applications

Mario Bruschi; Francesco Calogero; François Leyvraz; Matteo Sommacal

doi:10.1142/S1402925111001751

Generalization of an invertible transformation and examples of its applications

Mario Bruschi, Francesco Calogero, François Leyvraz, Matteo Sommacal

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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	https://doi.org/10.1142/S1402925111001751
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

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AU - Sommacal, Matteo

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KW - explicitly invertible transformations

KW - solvable algebraic equations

KW - Diophantine equations

KW - isochronous discrete-time dynamical systems

KW - solvable systems of nonlinear PDEs

KW - solvable nonautonomous PDEs

KW - functional equations

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EP - 540

JO - Journal of Nonlinear Mathematical Physics

JF - Journal of Nonlinear Mathematical Physics

IS - 04

ER -

Generalization of an invertible transformation and examples of its applications

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Keywords

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