Abstract
By using the critical point theory, the existence of gap solitons for periodic discrete nonlinear Schrödinger equations is obtained. An open problem proposed by Professor Alexander Pankov is solved.
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Shi, H. Gap Solitons in Periodic Discrete Schrödinger Equations with Nonlinearity. Acta Appl Math 109, 1065–1075 (2010). https://doi.org/10.1007/s10440-008-9360-x
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DOI: https://doi.org/10.1007/s10440-008-9360-x