Behavior of gap solitons in anharmonic lattices

Abstract : Using the theory of bifurcation, we provide and find gap soliton dynamics in a nonlinear Klein-Gordon model with anharmonic, cubic, and quartic interactions immersed in a parametrized on-site substrate potential. The case of a deformable substrate potential allows theoretical adaptation of the model to various physical situations. Nonconvex interactions in lattice systems lead to a number of interesting phenomena that cannot be produced with linear coupling alone. By investigating the dynamical behavior and bifurcations of solutions of the planar dynamical systems, we derive a variety of exotic solutions corresponding to the phase trajectories under different parameter conditions. Moreover, we demonstrate how and why traveling waves lose their smoothness and develop into solutions with compact support or breaking.
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https://hal-univ-bourgogne.archives-ouvertes.fr/hal-01620259
Contributeur : Le2i - Université de Bourgogne <>
Soumis le : vendredi 20 octobre 2017 - 12:23:27
Dernière modification le : vendredi 8 juin 2018 - 14:50:26

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Aurélien Serge Tchakoutio Nguetcho, Guy Merlin Nkeumaleu, Jean Marie Bilbault. Behavior of gap solitons in anharmonic lattices. Physical Review E , American Physical Society (APS), 2017, 96 (2), 〈https://www.ncbi.nlm.nih.gov/pubmed/28950624〉. 〈10.1103/PhysRevE.96.022207〉. 〈hal-01620259〉

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