Nonlinear interactions of two-kink-breather solution in Yu-Toda-Sasa-Fukuyama equation by modulated phase shift

Abstract

The waveforms and nonlinear interactions of a two-kink-breather solution of the (2 + 1)-dimensional Yu-Toda-
Sasa-Fukuyama (YTSF) equation are studied by modulated phase shift. First, we obtain the parameter relations
that respective affect the amplitudes of the kink and the breather solutions in kink-breather solution. Then, it
is proved that the solutions in the regions near the singular boundaries of the phase shift can be divided into
three kinds of solutions with repulsive or attractive interactions, in addition to the two-kink-breather solution.
Interestingly, a breather soliton acts as a messenger to transfer energy during the repulsive interaction between the
two kink-breather solutions with small amplitudes.