期刊
NONLINEAR DYNAMICS
卷 100, 期 2, 页码 1551-1557出版社
SPRINGER
DOI: 10.1007/s11071-020-05570-1
关键词
Soliton molecules; Breather molecules; Breather-soliton molecules; Breather-positon; Zero background; Darboux transformation
资金
- National Natural Science Foundation of China [11775121]
- K.C. Wong Magna Fund in Ningbo University
Based on Darboux transformation, we generate breather solutions sitting on zero background via module resonance for complex modified KdV equation. Then, some novel soliton molecules, breather molecules and breather-soliton molecules are obtained theoretically by module resonance and velocity resonance. Further, we study the higher-order breather-positons with zero background on the basis of degenerate Darboux transformation and module resonance for the first time. We discuss the dynamics of higher-order breather-positons in detail and propose related propositions. Finally, we find new elastic interactions between smooth positons and breather-positons by means of degenerate Darboux transformation and partial module resonance.
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