On a Vector Modified Yajima–Oikawa Long-Wave–Short-Wave Equation

Xianguo Geng and Ruomeng Li
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Xianguo Geng: School of Mathematics and Statistics, Zhengzhou University, Zhengzhou 450001, Henan, China
Ruomeng Li: School of Mathematics and Statistics, Zhengzhou University, Zhengzhou 450001, Henan, China

Mathematics, 2019, vol. 7, issue 10, 1-23

Abstract: A vector modified Yajima–Oikawa long-wave–short-wave equation is proposed using the zero-curvature presentation. On the basis of the Riccati equations associated with the Lax pair, a method is developed to construct multi-fold classical and generalized Darboux transformations for the vector modified Yajima–Oikawa long-wave–short-wave equation. As applications of the multi-fold classical Darboux transformations and generalized Darboux transformations, various exact solutions for the vector modified long-wave–short-wave equation are obtained, including soliton, breather, and rogue wave solutions.

Keywords: vector modified long-wave–short-wave equation; multi-fold generalized Darboux transformation; soliton solutions; breather solutions; rogue wave solutions (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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