Relation among nonlinear evolution equations and their reductions

DOI10.1016/j.chaos.2005.04.054zbMath1088.35535OpenAlexW2078535995MaRDI QIDQ813571

Jinbing Chen, Xiangguo Geng

Publication date: 13 February 2006

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

Full work available at URL: https://doi.org/10.1016/j.chaos.2005.04.054

zbMATH Keywords

Burgers equationHamiltonian systemLax pairssoliton hierarchyLCY eigenvalue problemmKP equation

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Soliton equations (35Q51)

Cites Work

• Nonlinearization of the Lax system for AKNS hierarchy
• Hierarchy of Poisson brackets for elements of a scattering matrix
• Algebro-geometric solutions to a hierarchy of (1 + 1)-dimensional and two new (2 + 1)-dimensional nonlinear evolution equations
• Constraints of the 2+1 dimensional integrable soliton systems
• The inverse scattering transform: Semi-infinite interval
• Relation between the Kadometsev–Petviashvili equation and the confocal involutive system
• The finite-band solution of the Jaulent–Miodek equation
• Quasi-periodic solutions of the modified Kadomtsev-Petviashvili equation
• C Neumann and Bargmann systems associated with the coupled KdV soliton hierarchy
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item