A hierarchy of new nonlinear evolution equations and generalized bi-Hamiltonian structures

Jiao Wei and Xianguo Geng

Applied Mathematics and Computation, 2015, vol. 268, issue C, 664-670

Abstract: With the aid of the zero-curvature equation, a hierarchy of new nonlinear evolution equations is proposed, which is associated with a 3 × 3 matrix spectral problem with four potentials. The generalized bi-Hamiltonian structures for the hierarchy are derived by using the trace identity. Furthermore, we construct the infinite conservation laws of a typical nonlinear evolution equation in the hierarchy by utilizing spectral parameter expansion.

Keywords: Nonlinear evolution equations; bi-Hamiltonian structures; Conservation laws (search for similar items in EconPapers)
Date: 2015
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0096300315008863
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:268:y:2015:i:c:p:664-670

DOI: 10.1016/j.amc.2015.06.105

Access Statistics for this article

Applied Mathematics and Computation is currently edited by Theodore Simos

More articles in Applied Mathematics and Computation from Elsevier
Bibliographic data for series maintained by Catherine Liu ().