Existence of gap solitons in periodic discrete nonlinear Schrödinger equations |
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| Authors: | Haiping Shi Hongqiang Zhang |
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| Institution: | a Basic Courses Department, Guangdong Baiyun Institute, Guangzhou 510450, PR China
b College of Mathematics and Compute Science, Changsha University of Science and Technology, Changsha 410076, PR China |
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| Abstract: | In this paper, we discuss how to use the critical point theory to study the existence of gap solitons for periodic discrete nonlinear Schrödinger equations. An open problem proposed by Professor Alexander Pankov is solved. |
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| Keywords: | Soliton solutions Discrete nonlinear Schrö dinger equation Variational structure Critical point |
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