Rogue waves of wave resonant-interaction equations with the higher-order effects

We study a three coupled wave system which includes the vector Hirota equations and three-wave resonant interaction equations. Using the Darboux-Dressing transformation, we obtain the rational and semi-rational (mixed rational-exponential) vector solutions of such system on the finite backgrounds an...

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Bibliographic Details
Published in:Physics letters. A 2022-12, Vol.456, p.128539, Article 128539
Main Authors: Sun, Wen-Rong, Liu, Meng-Meng
Format: Article
Language:English
Subjects:
Darboux-Dressing transformation
Rational and semi-rational solutions
Rogue waves
Wave resonant-interaction equations
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Summary:We study a three coupled wave system which includes the vector Hirota equations and three-wave resonant interaction equations. Using the Darboux-Dressing transformation, we obtain the rational and semi-rational (mixed rational-exponential) vector solutions of such system on the finite backgrounds and mixed backgrounds for the purpose of modeling rogue waves. Besides, we show the dynamics of vector solitons to this three coupled wave system. •A three coupled wave system is introduced.•The vector solutions are obtained analytically.•We show the dynamics of rogue waves and solitons.
ISSN:0375-9601
1873-2429
DOI:10.1016/j.physleta.2022.128539