Symplectic structure, Lagrangian, and involutiveness of first integrals of the principal chiral field equation

Author:

Dickey L. A.

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Reference6 articles.

1. Cherednik, I.V.: Algebraic aspects of two-dimensional chiral fields. II. Itogi Nauki i Tkh. Ser. Algebra, Topology, Geometry18, 73?150 (1981) (in Russian)

2. Perelomov, A.M.: Instanton-like solutions in chiral models. Usp. Fiz. Nauk134, 577?609 (1981) (in Russian)

3. Dickey, L.A.: Hamiltonian structures and Lax equations generated by matrix differential operators with polynomial dependence on a parameter. Commun. Math. Phys. (to appear)

4. Gelfand, I.M., Dickey, L.A.: Fractional powers of operators and Hamiltonian systems. Funct. Anal. Priloz.10, 13?29 (1976) (in Russian)

5. Gelfand, I.M., Dickey, L.A.: Family of Hamiltonian structures connected with integrable nonlinear differential equations. Preprint of the Inst. Appl. Math.136, 1?41 (1978) (in Russian)

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1. IntegrableG-strands on semisimple Lie groups;Journal of Physics A: Mathematical and Theoretical;2014-01-30

2. A one-dimensional model for n-level atoms coupled to an electromagnetic field;Journal of Mathematical Physics;1999-08

3. Hidden Symmetries of the Principal Chiral Model Unveiled;Communications in Mathematical Physics;1998-01-01

4. The Principal chiral model as an integrable system;Harmonic Maps and Integrable Systems;1994

5. Nonlinear evolution equations associated with the chiral-field spectral problem;Il Nuovo Cimento B Series 11;1985-08

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