On a Vector Modified Yajima–Oikawa Long-Wave–Short-Wave Equation
Keyword(s):
Lax Pair
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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.
Keyword(s):
2020 ◽
Vol 90
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pp. 105408
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Keyword(s):
2020 ◽
Vol 51
(4)
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pp. 1317-1342
2009 ◽
Vol 39
(2)
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pp. 697-706
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2019 ◽
Vol 71
(1)
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pp. 027
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2006 ◽
Vol 181
(1)
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pp. 247-255
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2013 ◽
Vol 82
(7)
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pp. 074001
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