Multisoliton solutions with even numbers and its generated solutions for nonlocal Fokas-Lenells equation |
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Authors: | Rong Fan Zhao Zhang Biao Li |
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Institution: | School of Mathematics and Statistics, Ningbo University, Ningbo 315211, China |
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Abstract: | In this letter, we investigate multisoliton solutions with even numbers and its generated solutions for nonlocal Fokas-Lenells equation over a nonzero background. First, we obtain 2n-soliton solutions with a nonzero background via n-fold Darboux transformation, and find that these soliton solutions will appear in pairs. Particularly, 2n-soliton solutions consist of n ‘bright' solitons and n ‘dark' solitons. This phenomenon implies a new form of integrability: even integrability. Then interactions between solitons with even numbers and breathers are studied in detail. To our best knowledge, a novel nonlinear superposition between a kink and 2n-soliton is also generated for the first time. Finally, interactions between some different smooth positons with a nonzero background are derived. |
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Keywords: | 2n-soliton positon solutions hybrid solutions |
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