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Artículo
Continuous families of solitary waves in non-symmetric complex potentials: A Melnikov theory approach
(Elsevier, 2019)
The existence of stationary solitary waves in symmetric and non-symmetric complex potentials is studied by means of Melnikov’s perturbation method. The latter provides analytical conditions for the existence of such waves ...
Artículo
Unifying perspective: solitary traveling waves as discrete breathers in Hamiltonian lattices and energy criteria for their stability
(American Physical Society, 2017)
In this work, we provide two complementary perspectives for the (spectral) stability of solitary traveling waves in Hamiltonian nonlinear dynamical lattices, of which the Fermi-Pasta-Ulam and the Toda lattice are ...