Resonant kink-impurity interactions

  • Zhang Fei
  • Yuri S. Kivshart
  • Luis Vázquez
Part VI: Mathematical Methods
Part of the Lecture Notes in Physics book series (LNP, volume 393)


We demonstrate that the impurity mode plays an important role in the kink-impurity interactions, and a kink may be totally reflected by an attractive impurity if its initial velocity lies in some resonance “windows”. This effect is quite similar to the resonance phenomena in kink-antikink collisions in some nonlinear Klein-Gordon equations, and it can be explained by a resonant energy exchange mechanism. Taking the sine-Gordon and the φ4 models as examples, we find a number of resonance windows by numerical simulations, and develop a collective-coordinate approach to describe the interactions analytically.


Resonance Phenomenon Threshold Velocity Impurity Mode Incoming Velocity Resonant Reflection 
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Copyright information

© Springer-Verlag 1991

Authors and Affiliations

  • Zhang Fei
    • 1
  • Yuri S. Kivshart
    • 1
  • Luis Vázquez
    • 1
  1. 1.Departamento de Fisica Teórica IFacultad de Ciencias Fisicas, Universidad ComplutenseMadridSpain

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