Dual \(\overline\partial\)-problem, \((2+1)\)-dimensional integrable nonlinear evolution equations and their reductions

DOI10.1007/BF02070869zbMath0888.35100MaRDI QIDQ1379191

S. V. Manakov, A. I. Zenchuk

Publication date: 1 March 1998

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Schrödinger equationsymmetry reductionsLax representationsdual \(\overline\partial\)-problemsingular KP-hierarchy

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) (overlinepartial)-Neumann problems and formal complexes in context of PDEs (35N15)

Related Items (4)

Multidimensional hierarchies of (1+1)-dimensional integrable partial differential equations. Nonsymmetric ∂̄-dressing ⋮ Analytic-bilinear approach to integrable hierarchies. I. Generalized KP hierarchy ⋮ Some generalizations of the two-dimensional Toda chain and sinh-Gordon equations ⋮ Miura-type transformations of nonlinear partial differential equations integrable by the \(\overline{\partial}\)-problem method

Cites Work

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