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General formulas for solutions of initial and boundary-value problems for the sine-Gordon equation

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Abstract

For the sine-Gordon equation, the solution of boundary-value problems is formulated in terms of ordered exponents, as has been done erlier for the Goursat and Cauchy problems.

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Authors and Affiliations

  1. Department of Theoretical Physics, Institute of Metal Physics, Vernadsky str. 36, 252680, Klev-142, Ukraine

    E. D. Belokolos

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  1. E. D. Belokolos
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 103, No. 3, pp. 358–367, June, 1995.

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Belokolos, E.D. General formulas for solutions of initial and boundary-value problems for the sine-Gordon equation. Theor Math Phys 103, 613–620 (1995). https://doi.org/10.1007/BF02065862

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