Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection

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Author: search.filters.author.Lee, JiunhungSubject: search.filters.subject.Hirota method

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  • Conference Object
    Citation - WoS: 8
    Citation - Scopus: 7
    Soliton Resonances for the Mkp-Ii
    (Pleiades Publishing, 2005) Lee, Jiunhung; Pashaev, Oktay
    Using the second flow (derivative reaction-diffusion system) and the third one of the dissipative SL(2, ℝ) Kaup-Newell hierarchy, we show that the product of two functions satisfying those systems is a solution of the modified Kadomtsev-Petviashvili equation in 2+1 dimensions with negative dispersion (MKP-II). We construct Hirota's bilinear representations for both flows and combine them as the bilinear system for the MKP-II. Using this bilinear form, we find one- and two-soliton solutions for the MKP-II. For special values of the parameters, our solution shows resonance behavior with the creation of four virtual solitons. Our approach allows interpreting the resonance soliton as a composite object of two dissipative solitons in 1+1 dimensions.