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

School of Mathematics and Statistics, Zhengzhou University, Zhengzhou 450001, Henan, China
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Mathematics 2019, 7(10), 958; https://doi.org/10.3390/math7100958
Received: 21 July 2019 / Revised: 1 October 2019 / Accepted: 9 October 2019 / Published: 12 October 2019
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. View Full-Text
Keywords: vector modified long-wave–short-wave equation; multi-fold generalized Darboux transformation; soliton solutions; breather solutions; rogue wave solutions vector modified long-wave–short-wave equation; multi-fold generalized Darboux transformation; soliton solutions; breather solutions; rogue wave solutions
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Geng, X.; Li, R. On a Vector Modified Yajima–Oikawa Long-Wave–Short-Wave Equation. Mathematics 2019, 7, 958.

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