Articles liés à Geometrical Approaches to Differential Equations: Proceeding...

Geometrical Approaches to Differential Equations: Proceedings of the Fourth Scheveningen Conference on Differential Equations, The Netherlands, August 26-31, 1979 - Couverture souple

Martini, R.

 
9783540100188: Geometrical Approaches to Differential Equations: Proceedings of the Fourth Scheveningen Conference on Differential Equations, The Netherlands, August 26-31, 1979
Couverture souple
ISBN 10 : 3540100180 ISBN 13 : 9783540100188
Editeur : Springer, 2009

Synopsis

Differential geometry as a tool for applied mathematicians.- Some heuristic comments on solitons, integrability conditions and lie groups.- On Bäcklund transformations and solutions to the 2+1 and 3+1 - dimensional sine - Gordon equation.- Bäcklund transformations.- Generalised Bäcklund transformations for integrable evolution equations associated with Nth order scattering problems.- Meromorphic forms solutions of completely integrable Pfaffian systems with regular singularities.- Far fields, nonlinear evolution equations, the Bäcklund transformation and inverse scattering.- Convergence of formal power series solutions of a system of nonlinear differential equations at an irregular singular point.- Non-linear wave equations as hamiltonian systems.- How many jumps? Variational characterization of the limit solution of a singular perturbation problem.- The continuous Newton-method for meromorphic functions.- A precise definition of separation of variables.- Generation of limit cycles from separatrix polygons in the phase plane.- Normal solvability of linear partial differential operators in C?(?).- Connection problems for linear ordinary differential equations in the complex domain.- Periodic solutions of continuous self-gravitating systems.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de la quatrième de couverture

Differential geometry as a tool for applied mathematicians.- Some heuristic comments on solitons, integrability conditions and lie groups.- On Bäcklund transformations and solutions to the 2+1 and 3+1 - dimensional sine - Gordon equation.- Bäcklund transformations.- Generalised Bäcklund transformations for integrable evolution equations associated with Nth order scattering problems.- Meromorphic forms solutions of completely integrable Pfaffian systems with regular singularities.- Far fields, nonlinear evolution equations, the Bäcklund transformation and inverse scattering.- Convergence of formal power series solutions of a system of nonlinear differential equations at an irregular singular point.- Non-linear wave equations as hamiltonian systems.- How many jumps? Variational characterization of the limit solution of a singular perturbation problem.- The continuous Newton-method for meromorphic functions.- A precise definition of separation of variables.- Generation of limit cycles from separatrix polygons in the phase plane.- Normal solvability of linear partial differential operators in C?(?).- Connection problems for linear ordinary differential equations in the complex domain.- Periodic solutions of continuous self-gravitating systems.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Springer
Date d'édition
2009
Langue
anglais
ISBN 10 
3540100180
ISBN 13 
9783540100188
Reliure
Broché
Nombre de pages
342
Coordonnées du fabricant
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