full
search.png

Search

close.png

Cancel

arrow
Volume 5, Issue 5
Non-Semisimple Lie Algebras of Block Matrices and Applications to Bi-Integrable Couplings

Jinghan Meng & Wen-Xiu Ma

DOI: 10.4208/aamm.12-m12121

Adv. Appl. Math. Mech., 5 (2013), pp. 652-670.

Published online: 2013-05

Preview Full PDF 3604 35580

Cited by

google scholar semantic scholar
Export citation
  • Abstract

We propose a class of non-semisimple matrix loop algebras consisting of 3×3 block matrices, and form zero curvature equations from the presented loop algebras to generate bi-integrable couplings. Applications are made for the AKNS soliton hierarchy and Hamiltonian structures of the resulting integrable couplings are constructed by using the associated variational identities.

  • Keywords

Bi-integrable couplings, non-semisimple matrix loop algebras, AKNS hierarchy, Hamiltonian structure, symmetry.

  • AMS Subject Headings

37K05, 37K10, 35Q53

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • BibTex
  • RIS
  • TXT
@Article{AAMM-5-652, author = {Meng , Jinghan and Ma , Wen-Xiu}, title = {Non-Semisimple Lie Algebras of Block Matrices and Applications to Bi-Integrable Couplings}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2013}, volume = {5}, number = {5}, pages = {652--670}, abstract = {

We propose a class of non-semisimple matrix loop algebras consisting of 3×3 block matrices, and form zero curvature equations from the presented loop algebras to generate bi-integrable couplings. Applications are made for the AKNS soliton hierarchy and Hamiltonian structures of the resulting integrable couplings are constructed by using the associated variational identities.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.12-m12121}, url = {http://global-sci.org/intro/article_detail/aamm/90.html} }
TY - JOUR T1 - Non-Semisimple Lie Algebras of Block Matrices and Applications to Bi-Integrable Couplings AU - Meng , Jinghan AU - Ma , Wen-Xiu JO - Advances in Applied Mathematics and Mechanics VL - 5 SP - 652 EP - 670 PY - 2013 DA - 2013/05 SN - 5 DO - http://doi.org/10.4208/aamm.12-m12121 UR - https://global-sci.org/intro/article_detail/aamm/90.html KW - Bi-integrable couplings, non-semisimple matrix loop algebras, AKNS hierarchy, Hamiltonian structure, symmetry. AB -

We propose a class of non-semisimple matrix loop algebras consisting of 3×3 block matrices, and form zero curvature equations from the presented loop algebras to generate bi-integrable couplings. Applications are made for the AKNS soliton hierarchy and Hamiltonian structures of the resulting integrable couplings are constructed by using the associated variational identities.

Meng , Jinghan and Ma , Wen-Xiu. (2013). Non-Semisimple Lie Algebras of Block Matrices and Applications to Bi-Integrable Couplings. Advances in Applied Mathematics and Mechanics. 5 (5). 652-670. doi:10.4208/aamm.12-m12121
Copy to clipboard
BibteX RIS TXT
The citation has been copied to your clipboard