Geometrical Approaches to Differential Equations

Proceedings of the Fourth Scheveningen Conference on Differential Equations, The Netherlands, August 26-31, 1979
Herausgegeben:Martini, R.

• Broschiertes Buch

Produktbeschreibung

Differential geometry as a tool for applied mathematicians.- Some heuristic comments on solitons, integrability conditions and lie groups.- On B¿lund transformations and solutions to the 2+1 and 3+1 - dimensional sine ¿ Gordon equation.- B¿lund transformations.- Generalised B¿lund 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 B¿lund 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.

Produktdetails

• Lecture Notes in Mathematics 810
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-540-10018-8
• 1980
• Seitenzahl: 352
• Erscheinungstermin: 1. Juli 1980
• Englisch
• Abmessung: 235mm x 155mm x 20mm
• Gewicht: 566g
• ISBN-13: 9783540100188
• ISBN-10: 3540100180
• Artikelnr.: 23564141

Inhaltsangabe

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.