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Zbl 1220.35164
Pankov, A.
Gap solitons in periodic discrete nonlinear Schrödinger equations. II: A generalized Nehari manifold approach. (English)
[J] Discrete Contin. Dyn. Syst. 19, No. 2, 419-430 (2007). ISSN 1078-0947; ISSN 1553-5231/e

Summary: In the present article we obtain the existence of so-called ground gap solitons in discrete periodic nonlinear Schrödinger equations with cubic nonlinearity. To do that we employ a periodic approximation technique and a generalized Nehari manifold approach. Part I, see Nonlinearity 19, No. 1, 27--40 (2006; Zbl 1220.35163).

MSC 2000:: *35Q55 NLS-like (nonlinear Schroedinger) equations
35Q51 Solitons
39A12 Discrete version of topics in analysis
39A70 Difference operators
78A40 Waves and radiation

Keywords: Gap solitons; discrete nonlinear Schrödinger equation; ground states; Nehari manifold.

Citations: Zbl 1220.35163

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