A Soliton Hierarchy Associated with a Spectral Problem of 2nd Degree in a Spectral Parameter and Its Bi-Hamiltonian Structure

Joint Authors

Yao, Yuqin
Shen, Shoufeng
Ma, Wen-Xiu

Source

Advances in Mathematical Physics

Issue

Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-6, 6 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2016-03-30

Country of Publication

Egypt

No. of Pages

6

Main Subjects

Physics

Abstract EN

Associated with so~(3,R), a new matrix spectral problem of 2nd degree in a spectral parameter is proposed and its corresponding soliton hierarchy is generated within the zero curvature formulation.

Bi-Hamiltonian structures of the presented soliton hierarchy are furnished by using the trace identity, and thus, all presented equations possess infinitely commuting many symmetries and conservation laws, which implies their Liouville integrability.

American Psychological Association (APA)

Yao, Yuqin& Shen, Shoufeng& Ma, Wen-Xiu. 2016. A Soliton Hierarchy Associated with a Spectral Problem of 2nd Degree in a Spectral Parameter and Its Bi-Hamiltonian Structure. Advances in Mathematical Physics،Vol. 2016, no. 2016, pp.1-6.
https://search.emarefa.net/detail/BIM-1095777

Modern Language Association (MLA)

Yao, Yuqin…[et al.]. A Soliton Hierarchy Associated with a Spectral Problem of 2nd Degree in a Spectral Parameter and Its Bi-Hamiltonian Structure. Advances in Mathematical Physics No. 2016 (2016), pp.1-6.
https://search.emarefa.net/detail/BIM-1095777

American Medical Association (AMA)

Yao, Yuqin& Shen, Shoufeng& Ma, Wen-Xiu. A Soliton Hierarchy Associated with a Spectral Problem of 2nd Degree in a Spectral Parameter and Its Bi-Hamiltonian Structure. Advances in Mathematical Physics. 2016. Vol. 2016, no. 2016, pp.1-6.
https://search.emarefa.net/detail/BIM-1095777

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1095777