Solution spectrum of the nonlinear Schroedinger equation
Journal Article
·
· Int. J. Theor. Phys.; (United States)
The soliton solutions of the form PSI = A/cosh kx and PSI = B tanh kx of the nonlinear Schroedinger equation have been considered with respect to many problems. In this paper, it is shown that the nonlinear Schroedinger equation also possesses a solution manifold that generalizes the above soliton functions and provides a discrete spectrum of eigenfunctions and eigenvalues. With the help of a slight modification of these eigenfunctions, it is possible to extend them to the relativistic case, where they become solutions of a nonlinear Klein-Gordon equation associated with a discrete mass spectrum.
- Research Organization:
- FB Radiologie, Siegen (West Germany)
- OSTI ID:
- 6179834
- Journal Information:
- Int. J. Theor. Phys.; (United States), Journal Name: Int. J. Theor. Phys.; (United States) Vol. 27:6; ISSN IJTPB
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
645400 -- High Energy Physics-- Field Theory
657002* -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CONVERGENCE
DIFFERENTIAL EQUATIONS
EIGENFUNCTIONS
EIGENVALUES
ELECTRIC CONDUCTIVITY
ELECTRICAL PROPERTIES
ENERGY
ENERGY RANGE
ENERGY-LEVEL TRANSITIONS
EQUATIONS
EXCITATION
FIELD EQUATIONS
FUNCTIONS
GINZBURG-LANDAU THEORY
INVARIANCE PRINCIPLES
KINETIC ENERGY
KLEIN-GORDON EQUATION
LORENTZ INVARIANCE
MASS SPECTRA
MATHEMATICAL MANIFOLDS
NONLINEAR PROBLEMS
PARTIAL DIFFERENTIAL EQUATIONS
PHYSICAL PROPERTIES
QUASI PARTICLES
RELATIVISTIC RANGE
SCHROEDINGER EQUATION
SOLITONS
SPECTRA
SUPERCONDUCTIVITY
WAVE EQUATIONS
657002* -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CONVERGENCE
DIFFERENTIAL EQUATIONS
EIGENFUNCTIONS
EIGENVALUES
ELECTRIC CONDUCTIVITY
ELECTRICAL PROPERTIES
ENERGY
ENERGY RANGE
ENERGY-LEVEL TRANSITIONS
EQUATIONS
EXCITATION
FIELD EQUATIONS
FUNCTIONS
GINZBURG-LANDAU THEORY
INVARIANCE PRINCIPLES
KINETIC ENERGY
KLEIN-GORDON EQUATION
LORENTZ INVARIANCE
MASS SPECTRA
MATHEMATICAL MANIFOLDS
NONLINEAR PROBLEMS
PARTIAL DIFFERENTIAL EQUATIONS
PHYSICAL PROPERTIES
QUASI PARTICLES
RELATIVISTIC RANGE
SCHROEDINGER EQUATION
SOLITONS
SPECTRA
SUPERCONDUCTIVITY
WAVE EQUATIONS