Some exact solutions of a system of nonlinear Schroedinger equations in three-dimensional space

Journal Article · Mon Feb 01 00:00:00 EST 1988 · Theor. Math. Phys.; (United States)

OSTI ID:6454783

Moskalyuk, S S

Interactions that break the symmetry of systems of nonrelativistic Schroedinger equations but preserve their symmetry with respect to one-parameter subgroups of the Schroedinger group are described. Ansatzes for invariant solutions and the corresponding systems of reduced equations in invariant variables for Galileo-invariant Schroedinger equations are found. Exact solutions for the system of nonlinear Schroedinger equations in three-dimensional space for the generalized Hubbard model are obtained.

• OSTI ID: 6454783
• Journal Information: Theor. Math. Phys.; (United States), Vol. 72:2; Other Information: Translated from Teoreticheskaya Matematicheskaya Fizika; 72: No. 2, 172-182(Aug 1987)
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
SCHROEDINGER EQUATION
INVARIANCE PRINCIPLES
THREE-DIMENSIONAL CALCULATIONS
GALILEI TRANSFORMATIONS
GROUP THEORY
MATHEMATICAL SPACE
NONLINEAR PROBLEMS
PARTICLE MODELS
SPACE-TIME
SYMMETRY BREAKING
SYMMETRY GROUPS
DIFFERENTIAL EQUATIONS
EQUATIONS
MATHEMATICAL MODELS
MATHEMATICS
PARTIAL DIFFERENTIAL EQUATIONS
SPACE
TRANSFORMATIONS
WAVE EQUATIONS
645300* - High Energy Physics- Particle Invariance Principles & Symmetries
657002 - Theoretical & Mathematical Physics- Classical & Quantum Mechanics