Geometrical Approaches to Differential Equations
Geometrical Approaches to Differential Equations Proceedings of the Fourth Scheveningen Conference on Differential Equations, The Netherlands August 26 – 31, 1979 / [electronic resource] :
edited by Rodolfo Martini.
- X, 342 p. online resource.
- Lecture Notes in Mathematics, 810 0075-8434 ; .
- Lecture Notes in Mathematics, 810 .
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.
9783540381662
10.1007/BFb0089970 doi
Global analysis (Mathematics).
Analysis.
QA299.6-433
515
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.
9783540381662
10.1007/BFb0089970 doi
Global analysis (Mathematics).
Analysis.
QA299.6-433
515