Lecture Notes in Mathematics - Geometrical Approaches to Differential Equations
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Published By Springer Berlin Heidelberg

9783540100188, 9783540381662

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Meromorphic forms solutions of completely integrable Pfaffian systems with regular singularities

Lecture Notes in Mathematics - Geometrical Approaches to Differential Equations ◽

10.1007/bfb0089976 ◽

1980 ◽

pp. 99-117

Author(s):

Raymond Gerard

Keyword(s):

Pfaffian Systems ◽

Completely Integrable

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Generalised Bäcklund transformations for integrable evolution equations associated with Nth order scattering problems

Lecture Notes in Mathematics - Geometrical Approaches to Differential Equations ◽

10.1007/bfb0089975 ◽

1980 ◽

pp. 95-98

Author(s):

R. K. Dodd ◽

H. C. Morris

Keyword(s):

Evolution Equations ◽

Bäcklund Transformations ◽

Scattering Problems ◽

Backlund Transformations ◽

Integrable Evolution

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Connection problems for linear ordinary differential equations in the complex domain

Lecture Notes in Mathematics - Geometrical Approaches to Differential Equations ◽

10.1007/bfb0089985 ◽

1980 ◽

pp. 306-317

Author(s):

R. Schäfke ◽

D. Schmidt

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Complex Domain ◽

Linear Ordinary Differential Equations ◽

Connection Problems

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How many jumps? Variational characterization of the limit solution of a singular perturbation problem

Lecture Notes in Mathematics - Geometrical Approaches to Differential Equations ◽

10.1007/bfb0089980 ◽

1980 ◽

pp. 159-180 ◽

Author(s):

O. Diekmann ◽

D. Hilhorst

Keyword(s):

Singular Perturbation ◽

Singular Perturbation Problem ◽

Variational Characterization ◽

Perturbation Problem ◽

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Some heuristic comments on solitons, integrability conditions and lie groups

Lecture Notes in Mathematics - Geometrical Approaches to Differential Equations ◽

10.1007/bfb0089972 ◽

1980 ◽

pp. 23-42

Author(s):

James Corones

Keyword(s):

Integrability Conditions

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Non-linear wave equations as hamiltonian systems

Lecture Notes in Mathematics - Geometrical Approaches to Differential Equations ◽

10.1007/bfb0089979 ◽

1980 ◽

pp. 143-158

Author(s):

L. J. F. Broer

Keyword(s):

Hamiltonian Systems ◽

Wave Equations ◽

Linear Wave ◽

Linear Wave Equations

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A precise definition of separation of variables

Lecture Notes in Mathematics - Geometrical Approaches to Differential Equations ◽

10.1007/bfb0089982 ◽

1980 ◽

pp. 240-263 ◽

Author(s):

Tom H. Koornwinder

Keyword(s):

Separation Of Variables ◽

Precise Definition ◽

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Convergence of formal power series solutions of a system of nonlinear differential equations at an irregular singular point

Lecture Notes in Mathematics - Geometrical Approaches to Differential Equations ◽

10.1007/bfb0089978 ◽

1980 ◽

pp. 135-142 ◽

Author(s):

Yasutaka Sibuya

Keyword(s):

Singular Point ◽

Power Series ◽

Differential Equations ◽

Formal Power Series ◽

Nonlinear Differential Equations ◽

Series Solutions ◽

Irregular Singular Point ◽

Power Series Solutions ◽

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The continuous Newton-method for meromorphic functions

Lecture Notes in Mathematics - Geometrical Approaches to Differential Equations ◽

10.1007/bfb0089981 ◽

1980 ◽

pp. 181-239 ◽

Author(s):

H.Th. Jongen ◽

P. Jonker ◽

F. Twilt

Keyword(s):

Newton Method ◽

Meromorphic Functions ◽

Continuous Newton Method

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Far fields, nonlinear evolution equations, the Bäcklund transformation and inverse scattering

Lecture Notes in Mathematics - Geometrical Approaches to Differential Equations ◽

10.1007/bfb0089977 ◽

1980 ◽

pp. 118-134 ◽

Author(s):

Alan Jeffrey

Keyword(s):

Inverse Scattering ◽

Evolution Equations ◽

Nonlinear Evolution ◽

Bäcklund Transformation ◽

Nonlinear Evolution Equations ◽

Backlund Transformation ◽

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