Abstract
We show that the group theoretical reduction of evolution equations which admit Lie-Bäcklund transformation groups does not lead in general to ordinary differential equations with the Painlevé property.
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Zeitschrift für Naturforschung A
A Journal of Physical Sciences
Editor-in-Chief: Holthaus, Martin
Editorial Board: Fetecau, Corina / Kiefer, Claus
12 Issues per year
IMPACT FACTOR 2016: 1.432
CiteScore 2017: 1.30
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Volume 19 (1964)
- Issue 12 (Dec 1964) , pp. 1335-1434
- Issue 13 (Dec 1964) , pp. 1435-1646
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Volume 18 (1963)
- Issue 12 (Dec 1963) , pp. 1243-1388
- Issue 11 (Nov 1963) , pp. 1151-1242
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Volume 17 (1962)
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Volume 16 (1961)
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Volume 15 (1960)
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Volume 14 (1959)
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Volume 13 (1958)
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Volume 12 (1957)
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Volume 11 (1956)
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Volume 9 (1954)
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Issue 1 (Jan 1950) , pp. 1-64
Walther Kossel, Zu Max...
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Issue 7 (Jul 1949) , pp. 481-563
Zum 60. Geburtstag von...
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Lise Meitner, Otto Hah...
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Werner Heisenberg, Arn...
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- Titelei
- Inhaltsverzeichnis
- On the Field-Induced Cholesteric-Nematic Transition in Cholesteric Liquid Crystals with Homeotropic Boundary Conditions
- Surface Polariton Mode Densities
- Dipole Moment Functions of HF and HI Molecules Using an Anharmonic Potential
- Evidence for Different Ferromagnetic Phases in Amorphous FeNiB Detected by EPR
- Schwingungsspektren von AgPS und CuPS / Vibrational Spectra of AgPS and CuPS
- IR Studies of Crystalline Methanol Films with Textures
- Experimental Study of Ion Dynamic Effects in Overlapping Helium Lines at Low Densities
- Intensity Analysis and Luminescence Spectra of Non-Aqueous Solutions of Europium Compounds
- Photophysical Study of a Series of Cyanines Part III. The direct photooxidation reaction
- Semiempirical Calculation of the Rotational Barrier and Valence Force Constants in Fluorocarbonylsulfenyl Chloride
- Rotational Spectrum of Methylcyanoacetylene A New Millimeter Wave Spectrometer
- Bestimmung der Aktivierungsparameter für die N-Inversion im 4-[(2,2-Dimethyl-aziridino-(1))-methyl]-2,6-di-tert.butyl-phenol durch H-DNMR / Evaluation of Activation Parameters for the N-Inversion of 4-[(2,2-Dimethyl-aziridino-(1))-methyl]- 2,6-di-tert.butyl-phenol by H-DNMR
- The Electronic Spectrum and Structure of Tetrasulfur Dinitride
- The Electronic Structure of Tetraphosphorus-and Tetraarsenic- Trisulphides; Interpretation of their Photoelectron Spectra
- Notizen: Bäcklund Transformation Groups of Non-Linear Evolution Equations and the Painlevé Property
- Notizen: Excess Free Energies in Molten CuCl-KCl-LiCl by EMF Measurements
- Dipole Moments and Configurations of Triaryl Acrilonitriles
Notizen: Bäcklund Transformation Groups of Non-Linear Evolution Equations and the Painlevé Property
W.-H. Steeb
- Theoretische Physik, Universität Paderborn
- Other articles by this author:
- De Gruyter OnlineGoogle Scholar
- Fachbereich Mathematik, Universität Paderborn
- Other articles by this author:
- De Gruyter OnlineGoogle Scholar
Published Online: 2014-06-02 | DOI: https://doi.org/10.1515/zna-1983-0116
Open Access
About the article
Received: 1982-10-23
Published Online: 2014-06-02
Published in Print: 1983-01-01
Citation Information: Zeitschrift für Naturforschung A, Volume 38, Issue 1, Pages 86–87, ISSN (Online) 1865-7109, ISSN (Print) 0932-0784, DOI: https://doi.org/10.1515/zna-1983-0116.
© 1946 – 2014: Verlag der Zeitschrift für Naturforschung. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License. BY-NC-ND 3.0
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- Titelei
- Inhaltsverzeichnis
- On the Field-Induced Cholesteric-Nematic Transition in Cholesteric Liquid Crystals with Homeotropic Boundary Conditions
- Surface Polariton Mode Densities
- Dipole Moment Functions of HF and HI Molecules Using an Anharmonic Potential
- Evidence for Different Ferromagnetic Phases in Amorphous Fe40Ni40B20 Detected by EPR
- Schwingungsspektren von Ag3PS4 und Cu3PS4 / Vibrational Spectra of Ag3PS4 and Cu3PS4
- IR Studies of Crystalline Methanol Films with Textures
- Experimental Study of Ion Dynamic Effects in Overlapping Helium Lines at Low Densities
- Intensity Analysis and Luminescence Spectra of Non-Aqueous Solutions of Europium Compounds
- Photophysical Study of a Series of Cyanines Part III. The direct photooxidation reaction
- Semiempirical Calculation of the Rotational Barrier and Valence Force Constants in Fluorocarbonylsulfenyl Chloride
- Rotational Spectrum of Methylcyanoacetylene A New Millimeter Wave Spectrometer
- Bestimmung der Aktivierungsparameter für die N-Inversion im 4-[(2,2-Dimethyl-aziridino-(1))-methyl]-2,6-di-tert.butyl-phenol durch 1H-DNMR / Evaluation of Activation Parameters for the N-Inversion of 4-[(2,2-Dimethyl-aziridino-(1))-methyl]- 2,6-di-tert.butyl-phenol by 1H-DNMR
- The Electronic Spectrum and Structure of Tetrasulfur Dinitride
- The Electronic Structure of Tetraphosphorus-and Tetraarsenic- Trisulphides; Interpretation of their Photoelectron Spectra
- Notizen: Bäcklund Transformation Groups of Non-Linear Evolution Equations and the Painlevé Property
- Notizen: Excess Free Energies in Molten CuCl-KCl-LiCl by EMF Measurements
- Dipole Moments and Configurations of Triaryl Acrilonitriles
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