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Applicable Analysis
An International Journal
Volume 89, 2010 - Issue 9: Mathematics of Nonlinear Lattices
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Original Articles

Travelling waves of discrete nonlinear Schrödinger equations with nonlocal interactions

Michal Fečkan Department of Mathematical Analysis and Numerical Mathematics, Comenius University, Mlynská dolina, 842 48 Bratislava, Slovakia; Mathematical Institute of Slovak Academy of Sciences, Štefánikova 49, 814 73 Bratislava, SlovakiaCorrespondence[email protected]
&
Vassilis M. Rothos Faculty of Engineering, School of Mathematics, Physics and Computational Sciences, Aristotle University of Thessaloniki, Thessaloniki 54124, Greece
Pages 1387-1411 | Received 20 May 2009, Accepted 10 Jul 2009, Published online: 16 Dec 2009
 
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Abstract

Existence and bifurcation results are derived for quasi periodic travelling waves of discrete nonlinear Schrödinger equations with nonlocal interactions and with polynomial-type potentials. Variational tools are used. Several concrete nonlocal interactions are studied as well.

AMS Subject Classifications::

Acknowledgements

Michal Fečkan is partially supported by the Grants VEGA-MS 1/0098/08 and VEGA-SAV 2/7140/27. Vassilis Rothos is partially supported by Research Grant-International Relations of AUTH.

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