Existence of breathers for discrete nonlinear Schrödinger equations |
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| Institution: | 1. Modern Business and Management Department, Guangdong Construction Vocational Technology Institute, Guangzhou 510440, China;2. Packaging Engineering Institute, Jinan University, Zhuhai 519070, China |
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| Abstract: | In this paper, we obtain a new sufficient condition on the existence of breathers for the discrete nonlinear Schrödinger equations by using critical point theory in combination with periodic approximations. The classical Ambrosetti–Rabinowitz superlinear condition is improved. |
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| Keywords: | Breathers Discrete nonlinear Schrödinger equations Discrete variational theory |
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