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• W1497180857 abstract "In fluid dynamics, plasma physics and nonlinear optics, Korteweg-de Vries (KdV)-type equations are used to describe certain phenomena. In this paper, a coupled KdV-modified KdV system is investigated. Based on the Bell polynomials and symbolic computation, the bilinear form of such system is derived, and its analytic N-soliton solutions are constructed through the Hirota method. Two types of multi-soliton interactions are found, one with the reverse of solitonic shapes, and the other, without. Both the two types can be considered elastic. For a pair of solutions to such system, u and v, with the number of solitons N even, the soliton shapes of u stay unvaried while those of v reverse after the interaction; with N odd, the soliton shapes of both u and v keep unchanged after the interaction." @default.
• W1497180857 created "2016-06-24" @default.
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• W1497180857 creator A5052486543 @default.
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• W1497180857 date "2012-07-01" @default.
• W1497180857 modified "2023-09-24" @default.
• W1497180857 title "Bell Polynomial Approach and <i>N</i> -Soliton Solutions for a Coupled KdV-mKdV System" @default.
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• W1497180857 doi "https://doi.org/10.1088/0253-6102/58/1/15" @default.
• W1497180857 hasPublicationYear "2012" @default.
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