Dressing method and the coupled KP hierarchy

DOI10.1016/S0375-9601(99)00848-8zbMath0949.37047arXivsolv-int/9909024OpenAlexW2079997196MaRDI QIDQ1569490

Saburo Kakei

Publication date: 3 July 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/solv-int/9909024

zbMATH Keywords

dressing method2-component KP hierarchycoupled KP hierarchy

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 (8)

Bäcklund transformations for new integrable hierarchies related to the polynomial Lie algebra \(\mathfrak{gl}_{\infty}^{(n)}\) ⋮ Linear problems and Bäcklund transformations for the Hirota-Ohta system ⋮ A new extended KP hierarchy ⋮ A class of reductions of the two-component KP hierarchy and the Hirota-Ohta system ⋮ The generalized dressing method with applications to variable-coefficient coupled Kadomtsev-Petviashvili equations ⋮ Deformed Ginibre ensembles and integrable systems ⋮ A new extended q-deformed KP hierarchy ⋮ New integrable hierarchies from vertex operator representations of polynomial Lie algebras

Cites Work

• Toda versus Pfaff lattice and related polynomials.
• A generalized Hirota-Satsuma coupled Korteweg-de Vries equation and Miura transformations
• Hierarchies of Coupled Soliton Equations. I
• Orthogonal and Symplectic Matrix Integrals and Coupled KP Hierarchy
• Unnamed Item

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