Journal
NONLINEAR DYNAMICS
Volume 100, Issue 2, Pages 1551-1557Publisher
SPRINGER
DOI: 10.1007/s11071-020-05570-1
Keywords
Soliton molecules; Breather molecules; Breather-soliton molecules; Breather-positon; Zero background; Darboux transformation
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Funding
- National Natural Science Foundation of China [11775121]
- K.C. Wong Magna Fund in Ningbo University
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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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