Expansions with respect to squares, symplectic and poisson structures associated with the Sturm-Liouville problem. II
The concept of tangent vector is made more precise to meet the specific nature of the Sturm-Liouville problem, and on this basis a Poisson bracket that is modified compared with the Gardner form by special boundary terms is derived from the Zakharov-Faddeev symplectic form. This bracket is nondegene...
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| Veröffentlicht in: | Theor. Math. Phys.; (United States) 1988-05, Vol.75 (2), p.448-460 |
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| container_title | Theor. Math. Phys.; (United States) |
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| creator | Arkad'ev, V. A. Pogrebkov, A. K. Polivanov, M. K. |
| description | The concept of tangent vector is made more precise to meet the specific nature of the Sturm-Liouville problem, and on this basis a Poisson bracket that is modified compared with the Gardner form by special boundary terms is derived from the Zakharov-Faddeev symplectic form. This bracket is nondegenerate, and in it the variables of the discrete and continuous spectra are separated. |
| doi_str_mv | 10.1007/BF01017483 |
| format | Article |
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| ispartof | Theor. Math. Phys.; (United States), 1988-05, Vol.75 (2), p.448-460 |
| issn | 0040-5779 1573-9333 |
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| source | SpringerNature Journals |
| subjects | 645201 - High Energy Physics- Particle Interactions & Properties-Theoretical- General & Scattering Theory ANNIHILATION OPERATORS BOUNDARY CONDITIONS DIFFERENTIAL EQUATIONS EQUATIONS FOURIER TRANSFORMATION HAMILTONIANS INTEGRAL TRANSFORMATIONS INVARIANCE PRINCIPLES KORTEWEG-DE VRIES EQUATION LIE GROUPS MAPPING MATHEMATICAL MANIFOLDS MATHEMATICAL OPERATORS PARTIAL DIFFERENTIAL EQUATIONS PHYSICS OF ELEMENTARY PARTICLES AND FIELDS POISSON EQUATION QUANTUM OPERATORS SCATTERING SERIES EXPANSION SP GROUPS STURM-LIOUVILLE EQUATION SYMMETRY GROUPS TENSORS TOPOLOGICAL MAPPING TRANSFORMATIONS VECTORS |
| title | Expansions with respect to squares, symplectic and poisson structures associated with the Sturm-Liouville problem. II |
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