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Lax formulation of generalized principal chiral models

✍ Scribed by Ladislav Hlavatá

Book ID
104330079
Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
205 KB
Volume
47
Category
Article
ISSN
0362-546X

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✦ Synopsis

The equations that define the Lax pairs for generalized principal chiral models are solved for (S U(2)) and the two-dimensional solvable group. Necessary conditions for the metric on (S U(2)) that define the integrable models are given. A solution for any constant metric is found. The solution is dependent on one free variable that can serve as the spectral parameter. For the two-dimensional solvable group it is shown that there are no solutions for constant metric and solutions for nonconstant diagonal metric are presented.

📜 SIMILAR VOLUMES

On a generalization of the hidden symmet
On a generalization of the hidden symmetry transformations for the principal chiral model
✍ A. V. Kyuldjiev; R. P. Zaikov 📂 Article 📅 1985 🏛 Springer 🌐 English ⚖ 297 KB

Nonlocal hidden symmetry transformations with a generalized structure and boundary conditions at spatial infinity for the principal chiral model are proposed. Additional restrictions on these transformations following from the requirement for the existence of an infinite set of conserved nonlocal ch