Rogue periodic waves of the sine–Gordon equation

The rogue periodic wave solutions of the nonlinear Schrödinger equation and the modified KdV equation were discovered in 2018. The phenomenon of rogue periodic wave is new and very interesting, but little research has been done. In this letter, the rogue periodic wave solutions of the sine–Gordon eq...

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Veröffentlicht in:Applied mathematics letters 2020-04, Vol.102, p.106147, Article 106147
Hauptverfasser: Li, Ruomeng, Geng, Xianguo
Format: Artikel
Sprache:eng
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Zusammenfassung:The rogue periodic wave solutions of the nonlinear Schrödinger equation and the modified KdV equation were discovered in 2018. The phenomenon of rogue periodic wave is new and very interesting, but little research has been done. In this letter, the rogue periodic wave solutions of the sine–Gordon equation are constructed by means of the Darboux transformation and the nonlinearization method. As an illustrative example, the exact formulas of first-and second-order rogue periodic waves are obtained.
ISSN:0893-9659
1873-5452
DOI:10.1016/j.aml.2019.106147