Article

    Ufa Mathematical Journal
    Volume 8, Number 3, pp. 49-57

    Construction of exact solution to Sine-Gordon equation on the base of its characteristic Lie ring


    Kamaeva S.N., Zhiber A.V.

    DOI:10.13108/2016-8-3-49

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    Abstact


    In the work we consider the scheme of constructing exact solutions to the Sine-Gordon equation based on a restricting the characteristic Lie ring. We study in details the case when the dimension of the space formed by commutators of length $6$ is equal to $1$.