An integrable couplings of Dirac soliton hierarchy with self-consistent sources

DOI10.1016/j.amc.2008.10.022zbMath1157.35098OpenAlexW2093887339MaRDI QIDQ1004229

Li Li, Fa-Jun Yu

Publication date: 2 March 2009

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2008.10.022

zbMATH Keywords

Dirac equationsintegrable couplingsloop algebraself-consistent sources

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Applications of Lie algebras and superalgebras to integrable systems (17B80) Numerical methods for differential-algebraic equations (65L80)

Cites Work

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• The multi-component TD hierarchy and its multi-component integrable coupling system with five arbitrary functions
• Integrable theory of the perturbation equations.
• Semi-direct sums of Lie algebras and continuous integrable couplings
• The general scheme for higher-order decompositions of zero-curvature equations associated with \(\widetilde {sl}(2)\)
• Enlarging spectral problems to construct integrable couplings of soliton equations
• The multi-component generalized Wadati-Konono-Ichikawa (WKI) hierarchy and its multi-component integrable couplings system with two arbitrary functions
• The bi-Hamiltonian structure of the perturbation equations of the KdV hierarchy.
• A \(2+1\) non-isospectral discrete integrable system and its discrete integrable coupling system
• A new loop algebra system and its discrete integrable coupling system
• Complexiton solutions of the Korteweg-de Vries equation with self-consistent sources
• Integration of the soliton hierarchy with self-consistent sources
• Integrable couplings of vector AKNS soliton equations
• Periodic solutions of the KdV equation
• Characteristic Numbers of Matrix Lie Algebras
• Soliton, Positon and Negaton Solutions to a Schrödinger Self-consistent Source Equation
• A new loop algebra and a corresponding integrable hierarchy, as well as its integrable coupling
• A discrete variational identity on semi-direct sums of Lie algebras
• Hamiltonian and quasi-Hamiltonian structures associated with semi-direct sums of Lie algebras
• Virasoro symmetry algebra of Dirac soliton hierarchy

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