The Hamiltonian structure of the (2+1)-dimensional Ablowitz--Kaup--Newell--Segur hierarchy

Journal Article · Sun Aug 01 00:00:00 EDT 1993 · Journal of Mathematical Physics (New York); (United States)

DOI:https://doi.org/10.1063/1.530040· OSTI ID:5408768

Athorne, C ^[1]; Dorfman, I Y ^[2]

---

1. Department of Mathematics, University of Glasgow, University Gardens, Glasgow G12 8QW (United Kingdom)
2. Institute of Chemical Physics, Russian Academy of Sciences, U1. Kosygina 4, Moscow 117977 (Russian Federation)

By considering Hamiltonian theory over a suitable (noncommutative) ring the nonlinear evolution equations of the Ablowitz--Kaup--Newell--Segur (2+1) hierarchy are incorporated into a Hamiltonian framework and a modified Lenard scheme.

• OSTI ID: 5408768
• Journal Information: Journal of Mathematical Physics (New York); (United States), Vol. 34:8; ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
EQUATIONS OF MOTION
NONLINEAR PROBLEMS
HAMILTONIAN FUNCTION
ALGEBRA
DIFFERENTIAL CALCULUS
LIE GROUPS
QUANTUM OPERATORS
RINGS
THREE-DIMENSIONAL CALCULATIONS
DIFFERENTIAL EQUATIONS
EQUATIONS
FUNCTIONS
MATHEMATICAL OPERATORS
MATHEMATICS
PARTIAL DIFFERENTIAL EQUATIONS
SYMMETRY GROUPS
662110* - General Theory of Particles & Fields- Theory of Fields & Strings- (1992-)