Bidirectional soliton solutions of the classical Boussinesq system and AKNS system. (Q1419242)

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scientific article; zbMATH DE number 2027096
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Bidirectional soliton solutions of the classical Boussinesq system and AKNS system.
scientific article; zbMATH DE number 2027096

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    Bidirectional soliton solutions of the classical Boussinesq system and AKNS system. (English)
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    14 January 2004
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    This paper deals with the connection of the classical Boussinesq system with a member of the AKNS system. With the help of known Darboux transformation on the AKNS system, the authors are able to obtain a general formula of bidirectional soliton solutions and show that these are richer than the unidirectional solution of the KdV equation.
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    bidirectional solution
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    multi-soliton solution
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    Darboux transformation
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