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Similarity, Bäcklund transformations and rational solutions

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Abstract

We study rational solutions to certain linear and nonlinear equations. It is shown that rational solutions can be generated by using similarity methods for linear equations and auto-Bäcklund transformations for nonlinear equations.

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Authors and Affiliations

  1. Fachbereich 17, Mathematik, Gesamthochschule Kassel, Wilhelmshöher Allee 73, 3500, Kassel, W. Germany

    W. Strampp

  2. Fachbereich Mathematik, Universität Paderborn, Warburger Strasse 100, 4790, Paderborn, W. Germany

    W. Oevel & W. -H. Steeb

Authors
  1. W. Strampp
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  2. W. Oevel
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  3. W. -H. Steeb
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Strampp, W., Oevel, W. & Steeb, W.H. Similarity, Bäcklund transformations and rational solutions. Lett Math Phys 7, 445–452 (1983). https://doi.org/10.1007/BF00402243

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  • DOI: https://doi.org/10.1007/BF00402243

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