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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

Citations (14)

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Read on this site (2)

Carlos García-Azpeitia. (2018) Global bifurcation of travelling waves in discrete nonlinear Schrödinger equations. Journal of Difference Equations and Applications 24:4, pages 564-574.
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Michael Herrmann. (2010) Heteroclinic standing waves in defocusing DNLS equations: variational approach via energy minimization. Applicable Analysis 89:10, pages 1591-1602.
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Articles from other publishers (12)

Dirk Hennig & Nikos I. Karachalios. (2023) Periodic traveling wave solutions of discrete nonlinear Klein‐Gordon lattices. Mathematical Methods in the Applied Sciences 46:17, pages 18400-18419.
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Michal Fečkan. 2023. Mathematical Modelling. Mathematical Modelling 1 25 .
Panayotis Panayotaros. (2021) Discrete Nonlinear Schrödinger Systems for Periodic Media with Nonlocal Nonlinearity: The Case of Nematic Liquid Crystals. Applied Sciences 11:10, pages 4420.
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Ling Zhang & Shangjiang Guo. (2021) Periodic travelling waves on damped 2D lattices with oscillating external forces * . Nonlinearity 34:5, pages 2919-2936.
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Guillaume James. (2018) Travelling breathers and solitary waves in strongly nonlinear lattices. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 376:2127, pages 20170138.
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Dirk Hennig. (2017) Periodic Travelling Wave Solutions of Discrete Nonlinear Schrödinger Equations. Journal of Applied Mathematics 2017, pages 1-5.
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JinRong Wang, A.G. Ibrahim & Michal Fečkan. (2015) Nonlocal Cauchy problems for semilinear differential inclusions with fractional order in Banach spaces. Communications in Nonlinear Science and Numerical Simulation 27:1-3, pages 281-293.
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Zhan Zhou & DeFang Ma. (2014) Multiplicity results of breathers for the discrete nonlinear Schrödinger equations with unbounded potentials. Science China Mathematics 58:4, pages 781-790.
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J. Diblík, M. Fečkan, M. Pospíšil, V. M. Rothos & H. Susanto. 2014. Localized Excitations in Nonlinear Complex Systems. Localized Excitations in Nonlinear Complex Systems 335 358 .
M. Fečkan, M. Pospíšil, V. M. Rothos & H. Susanto. (2013) Periodic Travelling Waves of Forced FPU Lattices. Journal of Dynamics and Differential Equations 25:3, pages 795-820.
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V. Koukouloyannis, P.G. Kevrekidis, J. Cuevas & V. Rothos. (2013) Multibreathers in Klein–Gordon chains with interactions beyond nearest neighbors. Physica D: Nonlinear Phenomena 242:1, pages 16-29.
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Vassilis Rothos & Michal Fečkan. (2010) Travelling waves of forced discrete nonlinear Schrödinger equations. Discrete and Continuous Dynamical Systems - Series S 4:5, pages 1129-1145.
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