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The inverse scattering method in an invariant form with respect to internal symmetry algebra representations

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Abstract

By the example of the sine—Gordon equation, we develop a technique for obtaining soliton solutions. This procedure is not connected with a concrete matrix realization of the Lax pair operators but it directly appeals to the properties of internal symmetry spectrum of the corresponding equations.

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  1. Institute for Higher Energy Physics, Protvino, P.O. 142284, Serpukhov, Moscow Reg., U.S.S.R.

    A. N. Leznov

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  1. A. N. Leznov
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Leznov, A.N. The inverse scattering method in an invariant form with respect to internal symmetry algebra representations. Lett Math Phys 8, 353–358 (1984). https://doi.org/10.1007/BF00418109

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  • DOI: https://doi.org/10.1007/BF00418109

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