\(N\)-soliton solution for a difference-differential equation under nonvanishing boundary condition at the infinity (Q2718262)

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scientific article; zbMATH DE number 1606418
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\(N\)-soliton solution for a difference-differential equation under nonvanishing boundary condition at the infinity
scientific article; zbMATH DE number 1606418

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    13 August 2001
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    \(N\)-soliton
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    discrete difference-differential equation
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    discrete MKdV equation
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    one-soliton solution
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    \(N\)-soliton solution for a difference-differential equation under nonvanishing boundary condition at the infinity (English)
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    The author presents an \(N\)-soliton solution for the discrete difference-differential equation under a nonvanishing boundary condition at infinity. The equation is known to be transformable to the discrete MKdV equation. The special case of a one-soliton solution is also considered.
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