Matrix solutions of a noncommutative KP equation and a noncommutative mKP equation

DOI10.1007/S11232-009-0068-5zbMath1179.35266arXiv0810.1891OpenAlexW3103150762MaRDI QIDQ1034473

C. M. Sooman, Claire R. Gilson, Jonathan J. C. Nimmo

Publication date: 6 November 2009

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0810.1891

zbMATH Keywords

quasideterminantbinary Darboux transformationnoncommutative KP equationmatrix solutionnoncommutative mKP equation

Mathematics Subject Classification ID

Soliton equations (35Q51) Geometric theory, characteristics, transformations in context of PDEs (35A30) Solutions to PDEs in closed form (35C05) Soliton solutions (35C08)

Related Items (4)

Non-Abelian integrable hierarchies: matrix biorthogonal polynomials and perturbations ⋮ Quasideterminant solutions of the extended noncommutative Kadomtsev-Petviashvili hierarchy ⋮ An integrable noncommutative generalization of the AB system and its multisoliton solutions ⋮ A new bidirectional generalization of (2+1)-dimensional matrix k-constrained Kadomtsev-Petviashvili hierarchy

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• Quasideterminant solutions of a non-Abelian Toda lattice and kink solutions of a matrix sine-Gordon equation
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• Multisoliton solutions of the matrix KdV equation

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