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Singular solitons: An example of a Sinh-Gordon equation

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Abstract

The application of the inverse scattering transform for a description of singular solutions of nonlinear equations is considered, using an example of a Sinh-Gordon equation. The singular solitons are constructed. The soliton lines of singularity are interpreted as world lines of a Poincaré-invariant dynamical system of interacting spin particles.

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References

  1. JorjadzeG.P., PogrebkovA.K., and PolivanovM.C., DAN of U.S.S.R. 243, 316 (1976) (in Russian).

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  2. PogrebkovA.K., DAN of U.S.S.R. 244, 873 (1979). (in Russian).

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  3. JorjadzeG.P., PogrebkovA.K., and PolivanovM.C., Teoret. i Mat. Fiz. 40, 221 (N2) (1979) (in Russian).

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Authors and Affiliations

  1. Steklov Mathematical Institute, Moscow, USSR

    A. K. Pogrebkov

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  1. A. K. Pogrebkov
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Pogrebkov, A.K. Singular solitons: An example of a Sinh-Gordon equation. Lett Math Phys 5, 277–285 (1981). https://doi.org/10.1007/BF00401475

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  • DOI: https://doi.org/10.1007/BF00401475

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