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Two connected inverse spectral transforms

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Abstract

We establish a transformation which connects the potentials of the one-dimensional Dirac and Klein-Gordon operators. This transformation links the solutions of the nonlinear evolution equations solvable by means of the two inverse spectral transforms which use the Dirac and Klein-Gordon direct and inverse spectral problems.

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  1. Laboratoire de Physique Théorique, Faculté des Sciences, Rabat, Morocco

    Jérôme JP. Leon

  2. Laboratoire de Physique Mathématique, Université des Sciences et Techniques du Languedoc, 34060, Montpellier Cédex, France

    Jérôme JP. Leon

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  1. Jérôme JP. Leon
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Leon, J.J. Two connected inverse spectral transforms. Lett Math Phys 5, 75–80 (1981). https://doi.org/10.1007/BF00401830

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  • DOI: https://doi.org/10.1007/BF00401830

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