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19912026
most citedAll static spherically symmetric anisotropic solutions of Einstein's equations

404 citations

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nlin.PS2024★ 5 cited

Highly-enhanced propagation of long-range kinks in heterogeneous media

Jorge A. González, Alberto Bellorín, Luis E. Guerrero +2

We investigate a field-theoretical model that describes the interaction between kinks and antikinks and between kinks and other heterogeneous fields and impurities. We show that th…

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.PS2005★ 5 cited

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…

nlin.PS2003★ 8 cited

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…

nlin.PS2002★ 11 cited

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…

nlin.PS2002★ 46 cited

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…