Multiseries Lie groups and asymptotic modules for characterizing and solving integrable models
DOI10.1063/1.528251zbMath0673.22009OpenAlexW2080825077WikidataQ115331910 ScholiaQ115331910MaRDI QIDQ3826770
Marcel Jaulent, M. A. Manna, Luis Martínez-Alonso
Publication date: 1989
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/11449/130489
nonlinear differential equationsevolution equationsinfinite-dimensional Lie groupasymptotic modulescompatible flowsmultiseries integrable modelRiemann-Hilbert and \({\bar \partial }\) problems
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Dynamics induced by flows and semiflows (37C10) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Applications of dynamical systems (37N99) Partial differential equations of mathematical physics and other areas of application (35Q99) Riemann-Hilbert problems in context of PDEs (35Q15)
Cites Work
- A unified Hamiltonian system on polynomial bundles, and the structure of stationary problems
- Complete integrability of the Kadomtsev-Petviashvili equation
- Construction of higher-dimensional nonlinear integrable systems and of their solutions
- The D-bar approach to inverse scattering and nonlinear evolutions
- Reduction of Hamiltonian systems, affine Lie algebra, and Lax equations. II
- Integration of nonlinear equations of mathematical physics by the method of inverse scattering. II
- An integrable (2+1)-dimensional generalisation of the Volterra model
- Infinite-dimensional Lie groups and algebraic geometry in soliton theory
- The ‘‘spectral Wronskian’’ tool and the ∂̄ investigation of the KdV hierarchy
- The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
This page was built for publication: Multiseries Lie groups and asymptotic modules for characterizing and solving integrable models
