Author:
Li Jiaheng,Chen Qingqing,Li Biao
Abstract
Abstract
In this paper, based on N-soliton solutions, we introduce a new constraint among parameters to find the resonance Y-type soliton solutions in (2+1)-dimensional integrable systems. Then, we take the (2+1)-dimensional Sawada–Kotera equation as an example to illustrate how to generate these resonance Y-type soliton solutions with this new constraint. Next, by the long wave limit method, velocity resonance and module resonance, we can obtain some new types of hybrid solutions of resonance Y-type solitons with line waves, breather waves, high-order lump waves respectively. Finally, we also study the dynamics of these interaction solutions and indicate mathematically that these interactions are elastic.
Funder
K.C.Wong Magna Fund in Ningbo University
National Natural Science Foundation of China
Subject
Physics and Astronomy (miscellaneous)
Cited by
33 articles.
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