Dynamic systems and soliton states of completely integrable field equations

The dynamics of completely integrable field equations (as sine-Gordon, nonlinear Schroedinger, etc.) are studied by methods of the qualitative theory of dynamic systems. This permits one to predict the existence of important new solutions. e.g., solitons of the nonzero vacuum. These solutions are co...

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Veröffentlicht in:	Radiophys. Quantum Electron. (Engl. Transl.); (United States) 1988-02, Vol.31 (2), p.108-120
Hauptverfasser:	Eleonskii, V. M., Kulagin, N. E., Lerman, L. M., Umanskii, Ya. L.
Format:	Artikel
Sprache:	eng
Schlagworte:	645400 - High Energy Physics- Field Theory CLASSIFICATION DIFFERENTIAL EQUATIONS DYNAMICS EIGENVALUES ENERGY SPECTRA EQUATIONS FIELD EQUATIONS HAMILTONIANS INTEGRALS MATHEMATICAL OPERATORS MATHEMATICAL SPACE MATHEMATICS MECHANICS NONLINEAR PROBLEMS OSCILLATIONS PARTIAL DIFFERENTIAL EQUATIONS PHASE SPACE PHYSICS OF ELEMENTARY PARTICLES AND FIELDS QUANTUM OPERATORS QUASI PARTICLES SCHROEDINGER EQUATION SINE-GORDON EQUATION SOLITONS SPACE SPECTRA SYMMETRY GROUPS TOPOLOGY TRAJECTORIES VACUUM STATES WAVE EQUATIONS
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Beschreibung
Zusammenfassung:	The dynamics of completely integrable field equations (as sine-Gordon, nonlinear Schroedinger, etc.) are studied by methods of the qualitative theory of dynamic systems. This permits one to predict the existence of important new solutions. e.g., solitons of the nonzero vacuum. These solutions are constructed by various method, and explicit formulas have been derived for them.
ISSN:	0033-8443 1573-9120
DOI:	10.1007/BF01039173