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Geometrical approaches to differential equations : proceedings of the 4. Scheveningen Conference on Differential Equations, the Netherlands, August 26-31, 1979

Author: Rodolfo Martini; Scheveningen Conference on Differential Equations (4, 1979, Scheveningen)
Publisher: Berlin : Springer, 1980.
Series: Lecture notes in mathematics, 810.
Edition/Format:   Print book : EnglishView all editions and formats
Publication:Geometrical Approaches to Differential Equations.
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Rodolfo Martini; Scheveningen Conference on Differential Equations (4, 1979, Scheveningen)
ISBN: 3540100180 9783540100188 0387100180 9780387100180
OCLC Number: 180647078
In: Martini, Rodolfo
Notes: Literaturangaben.
Description: VII, 339 Seiten : Diagramme.
Contents: Differential geometry as a tool for applied mathematicians.- Some heuristic comments on solitons, integrability conditions and lie groups.- On Backlund transformations and solutions to the 2+1 and 3+1 - dimensional sine - Gordon equation.- Backlund transformations.- Generalised Backlund 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 Backlund 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.
Series Title: Lecture notes in mathematics, 810.
Responsibility: ed. by R. Martini.

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