A noncommutative coupled dispersionless system, Darboux transformation and explicit solutions
2014 ◽
Vol 29
(39)
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pp. 1450206
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Keyword(s):
A noncommutative generalization of coupled dispersionless system has been presented. It has been shown that the system is equivalent to integrable noncommutative sine-Gordon equation. The Darboux transformation of the noncommutative coupled dispersionless system has been studied and it has been shown that the multisoliton solutions can be expressed in terms of quasideterminants. The quasideterminant solutions of the system reduce to the determinant solutions of the commutative coupled dispersionless system in the commutative limit.
1988 ◽
Vol 12
(10)
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pp. 1047-1052
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2006 ◽
Vol 39
(23)
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pp. 7313-7318
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2002 ◽
Vol 19
(7)
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pp. 908-911
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2016 ◽
Vol 106
(7)
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pp. 973-996
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2020 ◽
Vol 9
(4)
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pp. 2293-2298