Periodic intermediate long wave equation: the undressing method

Journal Article · Sat Aug 01 00:00:00 EDT 1987 · Theor. Math. Phys.; (United States)

DOI:https://doi.org/10.1007/BF01039203· OSTI ID:5707770

Lebedev, D R; Radul, A O

The periodic equation of a two-layer liquid (periodic intermediate long wave equation) is studied by the undressing method using formal Volterra operators. The method is used to construct an infinite series of conservation laws; higher equations of the two-layer liquid are written down in Hamiltonian form; it is shown that the conservation laws are preserved by the higher equations; and an involution theorem is proved.

• OSTI ID: 5707770
• Journal Information: Theor. Math. Phys.; (United States), Vol. 70:2; Other Information: Translated from Teor. Mat. Fiz.; 70: No. 2, 202-210(Feb 1987)
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
LIQUIDS
WAVE EQUATIONS
BOUNDARY-VALUE PROBLEMS
CAUCHY PROBLEM
CONSERVATION LAWS
HAMILTONIANS
INTERFACES
KORTEWEG-DE VRIES EQUATION
LAYERS
QUANTIZATION
QUANTUM MECHANICS
VARIATIONS
VOLTERRA INTEGRAL EQUATIONS
DIFFERENTIAL EQUATIONS
EQUATIONS
FLUIDS
INTEGRAL EQUATIONS
MATHEMATICAL OPERATORS
MECHANICS
PARTIAL DIFFERENTIAL EQUATIONS
QUANTUM OPERATORS
657002* - Theoretical & Mathematical Physics- Classical & Quantum Mechanics