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

doi:10.1007/s10473-023-0106-7

Abstract

Abstract: Soliton molecules (SMs) of the (2+1)-dimensional generalized Konopelchenko-Dubrovsky-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.

Key words: (2+1)-dimensional generalized Konopelchenko-Dubrovsky-Kaup-Kupershmidt equation, soliton molecules, velocity resonance, nonelastic interaction

Yan Li, Ruoxia Yao, Yarong Xia. MOLECULES AND NEW INTERACTIONAL STRUCTURES FOR A (2+1)-DIMENSIONAL GENERALIZED KONOPELCHENKO-DUBROVSKY-KAUP-KUPERSHMIDT EQUATION^*[J].Acta mathematica scientia,Series B, 2023, 43(1): 80-96.

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

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