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

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)

机构地区：[1]School of Computer Science,Shaanxi Normal University,Xi’an,710119,China [2]School of Information and Engineering,Xi’an University,Xi’an,710065,China

出　　处：《Acta Mathematica Scientia》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)。

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.

关 键 词：(2+1)-dimensional generalized Konopelchenko-Dubrovsky-Kaup-Kupershmidt equation soliton molecules velocity resonance nonelastic interaction 

分 类 号：O175[理学—数学]