Mixed localized wave solutions of the Hirota equation

In this letter, the mixed localized wave solutions of the Hirota equation are constructed through the modified Darboux transformation. One of them is the mixed 1-breather and 1-rouge wave solution and the other two are the mixed 1-breather and 2-rogue wave solution, and the mixed 2-breather and 1-ro...

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Bibliographic Details
Published inApplied mathematics letters Vol. 118; p. 107154
Main Authors Liu, De-Yin, Yu, Hui Min
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.08.2021
Subjects
Hirota equation
Lax pair
Mixed localized wave solutions
Modified Darboux transformation
Mixed localized wave solutions
Hirota equation
Lax pair
Modified Darboux transformation
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Summary:In this letter, the mixed localized wave solutions of the Hirota equation are constructed through the modified Darboux transformation. One of them is the mixed 1-breather and 1-rouge wave solution and the other two are the mixed 1-breather and 2-rogue wave solution, and the mixed 2-breather and 1-rogue wave solution. These mixed localized wave solutions are presented graphically by choosing proper parameters and we discuss their dynamic behavior and control briefly.
ISSN:0893-9659
1873-5452
DOI:10.1016/j.aml.2021.107154