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GEOMETRICAL APPROACHES TO DIFFERENTIAL EQUATIONS
  • 作 者:ED. BY MARTINI R
  • 出 版 社:SPRIGER-VERLAG
  • 出版年份:1979
  • ISBN:3540100180
  • 标注页数:339 页
  • PDF页数:351 页
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Invited papers 1

Differential geometry as a tool for applied mathematicians&F.B.Estabrook 1

Some Heuristic Comments on Solitons,Integrability Conditions and Lie Groups&J.Corones 23

On Backlund transformations and solu-tions to the 2+1 and 3+1-dimensional sine-Gordon equation&P.L.Christiansen 43

Backlund transformations&R.K.Dodd and H.C.Morris 63

Generalised Backlund transformations for integrable evolution equations associated with Nth order scattering problems&R.K.Dodd and H.C.Morris 95

Meromorphic forms solutions of completely integrable pfaffian systems with regular singularities&R.Gerard 99

Far fields,nonlinear evolution equations,the Backlund transformation and inverse scattering&A.Jeffrey 118

Convergence of formal power series solu-tions of a system of nonlinear differential equations at an irregular singular point&Y.Sibuya 135

Contributed papers 143

Non-linear wave equations as Hamiltonian systems&L.J.F.Broer 143

How many jumps?Variational characteriza-tion of the limit solution of a singular perturbation problem&O.Diekman and D.Hilhorst 159

The continuous Newton-method for mero- morphic functions&H.Th.Jongen, P.Jonker and F.Twilt 181

A precise definition of separation of variables&T.H.Koornwinder 240

Generation of limit cycles from separatrix polygons in the phase plane&J.W.Reyn 264

Normal solvability for linear partial dif-ferential operators in C∞ (Ω)&B.Sagraloff 290

Connection problems for linear ordinary differential equations in the complex domain&R.Schafke and D.Schmidt 306

Periodic solutions of continuous self-gravitating systems&F.Verhulst 318

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