Exact Multi-line Soliton Solutions of Noncommutative KP Equation

DOI10.1143/JPSJ.72.1881zbMath1047.35120OpenAlexW2080866435MaRDI QIDQ4469765

Miki Wadati, Ning Wang

Publication date: 18 June 2004

Published in: Journal of the Physical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1143/jpsj.72.1881

zbMATH Keywords

\(\partial\)-dressing methodmultiline soliton solutionsnoncommunicative KP equationnoncommutative linear algebraic equation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Related Items (4)

Quasideterminant solutions of the extended noncommutative Kadomtsev-Petviashvili hierarchy ⋮ Non-isospectral flows of noncommutative differential-difference KP equation ⋮ On solutions to the non-Abelian Hirota–Miwa equation and its continuum limits ⋮ On integrability of a noncommutative \(q\)-difference two-dimensional Toda lattice equation

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