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Geometrical Approaches to Differential Equations [1980]

1
Differential geometry as a tool for applied mathematicians
23
Some heuristic comments on solitons, integrability conditions and lie groups
43
On Bäcklund transformations and solutions to the 2+1 and 3+1 - dimensional sine — Gordon equation
63
Bäcklund transformations
95
Generalised Bäcklund transformations for integrable evolution equations associated with Nth order scattering problems
99
Meromorphic forms solutions of completely integrable Pfaffian systems with regular singularities
118
Far fields, nonlinear evolution equations, the Bäcklund transformation and inverse scattering
135
Convergence of formal power series solutions of a system of nonlinear differential equations at an irregular singular point
143
Non-linear wave equations as hamiltonian systems
159
How many jumps? Variational characterization of the limit solution of a singular perturbation problem
181
The continuous Newton-method for meromorphic functions
240
A precise definition of separation of variables
264
Generation of limit cycles from separatrix polygons in the phase plane
290
Normal solvability of linear partial differential operators in C<Superscript>∞</Superscript>(Ω)
306
Connection problems for linear ordinary differential equations in the complex domain
318
Periodic solutions of continuous self-gravitating systems
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