Lie algebraic structures of some (1+2)-dimensional Lax integrable systems.

DOI10.1016/S0960-0779(02)00178-9zbMath1038.37054MaRDI QIDQ1419174

Hongwei Xin, Da-jun Zhang, Deng-Yuan Chen

Publication date: 14 January 2004

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Mathematics Subject Classification ID

Related Items (15)

Integrability properties of the dispersionless Kadomtsev-Petviashvili hierarchy ⋮ Full symmetry groups, Painlevé integrability and exact solutions of the nonisospectral BKP equation ⋮ The double Wronskian solutions of a non-isospectral Kadomtsev-Petviashvili equation ⋮ New symmetries for the Ablowitz-Ladik hierarchies ⋮ A Liouville integrable hierarchy, symmetry constraint, new finite-dimensional integrable systems, involutive solution and expanding integrable models ⋮ Lie algebras and Hamiltonian structures of multi-component Ablowitz–Kaup–Newell–Segur hierarchy ⋮ Non-isospectral flows of noncommutative differential-difference KP equation ⋮ Darboux and Bäcklund transformations for the nonisospectral KP equation ⋮ New Type of Nonisospectral KP Equation with Self-Consistent Sources and its Bilinear Bäcklund Transformation ⋮ SYMMETRIES AND LIE ALGEBRA OF THE DIFFERENTIAL–DIFFERENCE KADOMSTEV–PETVIASHVILI HIERARCHY ⋮ New set of symmetries and Lie algebraic structures of the Toda lattice hierarchy ⋮ Symmetries for the Ablowitz-Ladik Hierarchy: Part I. Four-Potential Case ⋮ CASORATIAN SOLUTIONS AND NEW SYMMETRIES OF THE DIFFERENTIAL-DIFFERENCE KADOMTSEV–PETVIASHVILI EQUATION ⋮ Generalized Wronskian and Grammian Solutions to a Isospectral B-type Kadomtsev-Petviashvili equation ⋮ BÄCKLUND TRANSFORMATION OF A NON-ISOSPECTRAL KPESCS AND ITS NONLINEAR COUPLED SYSTEM

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