151 citations
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nlin.PS2016★ 14 cited
Arbitrarily large numbers of kink internal modes in inhomogeneous sine-Gordon equations
J. A. González, A. Bellorín, M. A. García-Ñustes +3
We prove the existence of an infinite number of internal (shape) modes of sine-Gordon solitons in the presence of some inhomogeneous long-range forces, provided some conditions are…
nlin.PS2016★ 15 cited
Bubble-like structures generated by activation of internal shape modes in two-dimensional sine-Gordon line solitons
Mónica A. García-Ñustes, Jorge A. González, Juan F. Marín
Nonlinear waves that collide with localized defects exhibit complex behavior. Apart from reflection, transmission, and annihilation of an incident wave, a local inhomogeneity can a…