50 citations · 252 across the 15 of their papers we have counts for
5 papers · 1 filter
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…
Controlling soliton explosions
J. A. Gonzalez, A. Bellorin, L. E. Guerrero
We investigate the dynamics of solitons in generalized Klein-Gordon equations in the presence of nonlinear damping and spatiotemporal perturbations. We will present different mecha…
Geometrical resonance in spatiotemporal systems
J. A. Gonzalez, A. Bellorin, L. I. Reyes +2
We generalize the concept of geometrical resonance to perturbed sine-Gordon, Nonlinear Schrödinger and Complex Ginzburg-Landau equations. Using this theory we can control diff…
How to excite the internal modes of sine-Gordon solitons
J. A. Gonzalez, A. Bellorin, L. E. Guerrero
We investigate the dynamics of the sine-Gordon solitons perturbed by spatiotemporal external forces. We prove the existence of internal (shape) modes of sine-Gordon solitons when t…
Internal modes of sine-Gordon solitons in the presence of spatiotemporal perturbations
J. A. Gonzalez, A. Bellorin, L. E. Guerrero
We investigate the dynamics of the sine-Gordon solitons perturbed by spatiotemporal external forces. We prove the existence of internal (shape) modes of sine-Gordon solitons when t…