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Reciprocal Bäcklund transformations of autonomous evolution equations

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Abstract

We discuss the construction of reciprocal Bäcklund transformations for evolution equations using integrating factors of zeroth and higher orders with their corresponding conservation laws. As an example, we consider the Harry Dym equation and the Schwarzian KdV equation.

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Authors and Affiliations

  1. Department of Mathematics, Luleå University of Technology, Luleå, Sweden

    M. Euler, N. Euler & S. Lundberg

Authors
  1. M. Euler
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  2. N. Euler
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  3. S. Lundberg
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Corresponding author

Correspondence to N. Euler.

Additional information

Prepared from an English manuscript submitted by the authors; for the Russian version, see Teoreticheskaya i Matematicheskaya Fizika, Vol. 159, No. 3, pp. 418–427, June, 2009.

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Euler, M., Euler, N. & Lundberg, S. Reciprocal Bäcklund transformations of autonomous evolution equations. Theor Math Phys 159, 770–778 (2009). https://doi.org/10.1007/s11232-009-0065-8

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  • DOI: https://doi.org/10.1007/s11232-009-0065-8

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