Novel soliton molecules and interaction wave solutions in a (2+1)-dimensional Sawada–Kotera equation: a multi-linear variable separation method

The multi-linear variable separation method has been always considered as an effective tool to solve nonlinear physical models. In this paper, by introducing three new types of variable separation functions, we obtain some novel nonlinear excitations, namely the N -dromions, N × M lumps lattice and...

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Bibliographic Details
Published in:Nonlinear dynamics 2023-07, Vol.111 (13), p.12541-12552
Main Authors: Sun, Jianlong, Li, Zhengkang, An, Hongli, Zhu, Haixing
Format: Article
Language:English
Subjects:
Automotive Engineering
Classical Mechanics
Control
Dynamical Systems
Engineering
Mechanical Engineering
Nonlinear systems
Original Paper
Separation
Solitary waves
System effectiveness
Velocity
Vibration
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Summary:The multi-linear variable separation method has been always considered as an effective tool to solve nonlinear physical models. In this paper, by introducing three new types of variable separation functions, we obtain some novel nonlinear excitations, namely the N -dromions, N × M lumps lattice and N × M ring solitons. Next, by applying the velocity resonance principle to a pair of dromions, lumps and ring solitons, we derive the new dromion molecules, lumps molecules and ring soliton molecules as well as their interactions. In order to shed lights on the dynamical behaviors of these solutions, we present some illustrative numerical figures. It is pointed out that the results obtained here enrich the types of soliton molecules. Meanwhile, the method adopted can be effectively applied to construct the soliton molecules of other nonlinear systems.
ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-023-08485-9