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《Journal of Nonlinear Mathematical Physics》2013,20(2):299-321
The standard binary Darboux transformation is composed and is used to obtain exact multisoliton solutions of the chiral field model in two dimensions. The solutions are expressed in terms of quasideterminants. It has been shown that the standard binary Darboux transformation is equivalent to the elementary binary Darboux transformation. 相似文献
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H. Wajahat A. Riaz 《理论物理通讯》2019,71(8):912-920
Using a quasideterminant Darboux matrix, we compute soliton solutions of a negative order AKNS (AKNS($-$1)) equation. Darboux transformation (DT) is defined on the solutions to the Lax pair and the AKNS($-$1) equation. By iterated DT to K-times, we obtain multisoliton solutions. It has been shown that multisoliton solutions can be expressed in terms of quasideterminants and shown to be related with the dressed solutions as obtained by dressing method. 相似文献
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A group code defined over a group G is a subset of Gn which forms a group under componentwise group operation. The well known matrix characterization of MDS (Maximum Distance
Separable) linear codes over finite fields is generalized to MDS group codes over abelian groups, using the notion of quasideterminants
defined for matrices over non-commutative rings. 相似文献
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