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On a zero curvature representation of a system of differential equations reducible to a nonlinear Klein-Gordon equation (Q1896712)

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scientific article; zbMATH DE number 795228
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English
On a zero curvature representation of a system of differential equations reducible to a nonlinear Klein-Gordon equation
scientific article; zbMATH DE number 795228

    Statements

    On a zero curvature representation of a system of differential equations reducible to a nonlinear Klein-Gordon equation (English)
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    5 November 1995
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    The zero curvature representation of a system of differential equations proved to be efficient in the construction of solutions via the method of inverse scattering problem, in studies of Bäcklund transformations and in the formulation of conservation laws. In the present article we give a zero curvature representation of a system of differential equations whose solutions make it possible to construct solutions to a nonlinear Klein-Gordon equation.
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    zero curvature representation
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    nonlinear Klein-Gordon equation
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