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An algebraic approach to soliton solutions - MaRDI portal

An algebraic approach to soliton solutions (Q1063165)

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scientific article; zbMATH DE number 3914762
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English
An algebraic approach to soliton solutions
scientific article; zbMATH DE number 3914762

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    An algebraic approach to soliton solutions (English)
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    1984
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    The paper contains an explicit expression for the soliton solution of the equation (*) \(U'-\dot V+[U,V]=0\) in the case of dependence of matrices U and V on the spectral parameter \(\lambda\). Here the equation (*) expresses the self-consistency conditions for a linear system connected with the algebra \(sl(2,R)\). Illustrative examples are included.
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    scattering method
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    soliton solution
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    spectral parameter
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    examples
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