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Note on bäcklund transformations, dirac factorization and the sine-gordon equation

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Il Nuovo Cimento A (1971-1996)

Summary

Bäcklund-type transformations for the sine-Gordon equation in 3+1 dimensions are systematically found by exploiting various Dirac-type factorings of the d’Alembertian.

Riassunto

Si trovano sistematicamente trasformazioni del tipo di Bäcklund per l’equazione del seno di Gordon in 3+1 dimensioni sfruttando varie fattorizzazioni del tipo di Dirac del d’Alembertiano.

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Authors and Affiliations

  1. Department of Physics, Oklahoma State University, 74074, Stillwater, Okla., U.S.A.

    W. Wilson & N. V. V. J. Swamy

Authors
  1. W. Wilson
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  2. N. V. V. J. Swamy
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To speed up publication, the authors of this paper have agreed to not receive the proofs for correction.

Research supported in part by the Research Foundation of the College of Arts and Science, Oklahoma State University.

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Wilson, W., Swamy, N.V.V.J. Note on bäcklund transformations, dirac factorization and the sine-gordon equation. Nuov Cim A 56, 44–50 (1980). https://doi.org/10.1007/BF02729978

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