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MOLECULES AND NEW INTERACTIONAL STRUCTURES FOR A(2+1)-DIMENSIONAL GENERALIZED KONOPELCHENKO-DUBROVSKY-KAUP-KUPERSHMIDT EQUATION 被引量:1

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摘要 Soliton molecules(SMs)of the(2+1)-dimensional generalized KonopelchenkoDubrovsky-Kaup-Kupershmidt(gKDKK)equation are found by utilizing a velocity resonance ansatz to N-soliton solutions,which can transform to asymmetric solitons upon assigning appropriate values to some parameters.Furthermore,a double-peaked lump solution can be constructed with breather degeneration approach.By applying a mixed technique of a resonance ansatz and conjugate complexes of partial parameters to multisoliton solutions,various kinds of interactional structures are constructed;There include the soliton molecule(SM),the breather molecule(BM)and the soliton-breather molecule(SBM).Graphical investigation and theoretical analysis show that the interactions composed of SM,BM and SBM are inelastic.
作者 李岩 姚若侠 夏亚荣 Yan LI;Ruoxia YAO;Yarong XIA(School of Computer Science,Shaanxi Normal University,Xi’an,710119,China;School of Information and Engineering,Xi’an University,Xi’an,710065,China)
出处 《Acta Mathematica Scientia》 SCIE CSCD 2023年第1期80-96,共17页 数学物理学报(B辑英文版)
基金 Supported by the National Natural Science Foundation of China(12001424) the Natural Science Basic Research Program of Shaanxi Province(2021JZ-21) the Fundamental Research Funds for the Central Universities(2020CBLY013)。
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