Neumann type integrable reduction for nonlinear evolution equations in 1+1 and 2+1 dimensions

DOI10.1063/1.3266168zbMath1373.37138OpenAlexW2065326172MaRDI QIDQ3583750

Jinbing Chen

Publication date: 17 August 2010

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.3266168

zbMATH Keywords

matrix algebraintegral equationssolitonsnonlinear equationsKorteweg-de Vries equationeigenvalues and eigenfunctionsvectorsfinite-gap solutions of Novikov equationLiouville integrability of family of Neumann type systems

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) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Soliton equations (35Q51)

Related Items

The Neumann type systems and algebro-geometric solutions of a system of coupled integrable equations, The Application of Neumann Type Systems for Solving Integrable Nonlinear Evolution Equations, Some algebro-geometric solutions for the coupled modified Kadomtsev-Petviashvili equations arising from the Neumann type systems

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