Periodic Travelling Wave Solutions of Discrete Nonlinear Schrödinger Equations
Keyword(s):
The existence of nonzero periodic travelling wave solutions for a general discrete nonlinear Schrödinger equation (DNLS) on one-dimensional lattices is proved. The DNLS features a general nonlinear term and variable range of interactions going beyond the usual nearest-neighbour interaction. The problem of the existence of travelling wave solutions is converted into a fixed point problem for an operator on some appropriate function space which is solved by means of Schauder’s Fixed Point Theorem.
2009 ◽
Vol 238
(6)
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pp. 603-621
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Keyword(s):
2016 ◽
Vol 5
(2)
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pp. 109-118
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2011 ◽
Vol 317-319
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pp. 2168-2171
2009 ◽
Vol 210
(2)
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pp. 422-435
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