科研之友
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摘要
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.
- 出版日期2014-12-21
