Nonstandard bilinearization and interaction phenomenon for PT-symmetric coupled nonlocal nonlinear Schrödinger equations

We develop a nonstandard bilinearization procedure to generate more general bright soliton, breather soliton and quasi-rogue wave solutions for the PT-symmetric coupled nonlocal nonlinear Schrödinger (CNNLS) equations. We achieve some novel solutions by bilinearizing both the CNNLS equations and the...

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Veröffentlicht in:Applied mathematics letters 2020-05, Vol.103, p.106209, Article 106209
Hauptverfasser: Yu, Fajun, Fan, Rui
Format: Artikel
Sprache:eng
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Zusammenfassung:We develop a nonstandard bilinearization procedure to generate more general bright soliton, breather soliton and quasi-rogue wave solutions for the PT-symmetric coupled nonlocal nonlinear Schrödinger (CNNLS) equations. We achieve some novel solutions by bilinearizing both the CNNLS equations and their associated auxiliary equations in a novel way. The soliton equations are written into bilinear operator forms by means of auxiliary equations, then the 1-soliton solution and 2-soliton solution of PT-symmetric CNNLS equations are constructed. Some novel interaction properties of the PT-symmetric two-soliton solutions are derived, which can present the potential applications to the soliton wave phenomena in nonlocal wave models.
ISSN:0893-9659
1873-5452
DOI:10.1016/j.aml.2020.106209