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A Hamiltonian model and soliton phenomenon for a two-mode KdV equation - MaRDI portal

A Hamiltonian model and soliton phenomenon for a two-mode KdV equation (Q635278)

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scientific article; zbMATH DE number 5940460
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A Hamiltonian model and soliton phenomenon for a two-mode KdV equation
scientific article; zbMATH DE number 5940460

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    A Hamiltonian model and soliton phenomenon for a two-mode KdV equation (English)
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    19 August 2011
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    The so-called scaled two-mode KdV (STMKdV) equation is studied. Its Hamiltonian structure and solitary wave interaction are discussed. In Section 2, a general description of the Hamiltonian formalism is presented. In Section 3, the Hamiltonian formalism is applied to the STMKdV equation. After that, numerical results regarding solitary wave interaction are demonstrated.
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    nonlinear partial differential equation
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    soliton
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    Hamiltonian system
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    Fourier spectral method
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