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This work studies the damped double sine-Gordon equation driven by a biharmonic force, where a parameter λ controls the existence and the frequency of an internal mode. The role of internal oscillations of the kink width in ratchet dynamics of kink is investigated within the framework of collective coordinate theories. It is found that the ratchet velocity of the kink, when an internal mode appears in this system, decreases contrary to what was expected. It is also shown that the kink exhibits a higher mobility in the double sine-Gordon without internal mode, but with a quasilocalized first phonon mode.Ministerio de Educación y Ciencia (España) MTM2006-13000-C03-01Ministerio de Ciencia e Innovación (España) FIS2008-02380/FISJunta de Andalucía. Consejería de Innovación, Ciencia y Empresas FQM262Universidad de Granada FQM207Junta de Andalucía P06-FQM-0173

Driven and damped double sine-Gordon equation: The influence of internal modes on the soliton ratchet mobility