On solutions to the non-Abelian Hirota–Miwa equation and its continuum limits
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Publication:3561914
DOI10.1098/rspa.2008.0438zbMath1186.35174arXiv0809.3833OpenAlexW2106157273MaRDI QIDQ3561914
K. M. Tamizhmani, Chun-Xia Li, Jonathan J. C. Nimmo
Publication date: 19 May 2010
Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0809.3833
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Soliton equations (35Q51)
Related Items (10)
Non-commutative Hermite-Padé approximation and integrability ⋮ Sato-theoretic construction of solutions to noncommutative integrable systems ⋮ Quasideterminant solutions of the extended noncommutative Kadomtsev-Petviashvili hierarchy ⋮ Soliton scattering in noncommutative spaces ⋮ Non-isospectral flows of noncommutative differential-difference KP equation ⋮ Bäcklund transformations and the Atiyah–Ward ansatz for non-commutative anti-self-dual Yang–Mills equations ⋮ Matrix Toda and Volterra lattices ⋮ A semi-discrete Kadomtsev-Petviashvili equation and its coupled integrable system ⋮ Soliton solutions of noncommutative anti-self-dual Yang–Mills equations ⋮ On integrability of a noncommutative \(q\)-difference two-dimensional Toda lattice equation
Cites Work
- Nonabelian integrable systems, quasideterminants, and Marchenko lemma
- Noncommutative KP Hierarchy and Hirota Triple-Product Relations
- Exact Multi-line Soliton Solutions of Noncommutative KP Equation
- Noncommutative Extension of \bar∂-Dressing Method
- Quasideterminant solutions of a non-Abelian Toda lattice and kink solutions of a matrix sine-Gordon equation
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