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2020.01.06,李彪教授,宁波大学,Novel molecules and b-positon on zero background for the complex modified KdV equation

 

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报告题目:Novel molecules and b-positon on zero background for the complex modified KdV equation

 

      : 李彪教授  宁波大学

   要:Based on Darboux transformation, we firstly generate breather solutions sitting on zero background via module resonance for complex modified KdV equation. Then some novel molecules, breather molecules and breather soliton molecules, are obtained theoretically by module resonance and velocity resonance. Further, we study the higher-order b-positons with zero background on the basis of degenerate Darboux transformation and module resonance for first time. We discuss the dynamics of higher-order b-positons in detail and propose related propositions. Finally, we find new elastic interactions between smooth positons and b-positons by means of degenerate Darboux transformation and partial module resonance.

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