Rational solitons of the Veselov-Novikov equations are reflectionless two-dimensional potentials at fixed energy

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

OSTI ID:5836884

Grinevich, P G

Explicit examples are constructed of two-dimensional rational potentials that decrease at infinity and are reflectionless for given energy. It is shown that these potentials correspond to soliton solutions of the (2 + 1)- dimensional nonlinear equations found by Veselov and Novikov.

• Research Organization: L. D. Landau Institute of Theoretical Physics, USSR
• OSTI ID: 5836884
• Journal Information: Theor. Math. Phys.; (United States), Vol. 69:2; Other Information: Translated from Teor. Mat. Fiz.; 69: No. 2, 307-310(Nov 1986)
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
KORTEWEG-DE VRIES EQUATION
POTENTIALS
SOLITONS
SCHROEDINGER EQUATION
COMMUTATION RELATIONS
FIELD EQUATIONS
INVERSE SCATTERING PROBLEM
NONLINEAR PROBLEMS
PARTICLE MODELS
SCATTERING AMPLITUDES
TWO-DIMENSIONAL CALCULATIONS
AMPLITUDES
DIFFERENTIAL EQUATIONS
EQUATIONS
MATHEMATICAL MODELS
PARTIAL DIFFERENTIAL EQUATIONS
QUASI PARTICLES
WAVE EQUATIONS
645201* - High Energy Physics- Particle Interactions & Properties-Theoretical- General & Scattering Theory