Important developments in soliton theory. (English) Zbl 0801.00009

Springer Series in Nonlinear Dynamics. Berlin: Springer-Verlag. ix, 559 p. (1993).

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The articles of this volume will be reviewed individually.
Indexed articles:
Beals, R.; Deift, P.; Zhou, X., The inverse scattering transform on the line, 7-32 [Zbl 0926.35129]
Calogero, F., C-integrable nonlinear partial differential equations, 33-37 [Zbl 0813.35118]
Capel, H. W.; Nijhoff, F., Integrable lattice equations, 38-57 [Zbl 0924.35155]
Coifman, R.; Fokas, A. S., The inverse spectral method on the plane, 58-85 [Zbl 0926.35130]
Dubrovin, B., Dispersion relations for nonlinear waves and the Schottky problem, 86-98 [Zbl 0811.35121]
Fokas, A. S.; Its, A. R., The isomonodromy method and the PainlevĂ© equations, 99-122 [Zbl 0826.35119]
Krichever, I., The Cauchy problem for doubly periodic solutions of KP-II equation, 123-146 [Zbl 0854.35101]
Santini, P. M., Integrable singular integral evolution equations, 147-177 [Zbl 0924.35146]
Deift, P. A.; Its, A. R.; Zhou, X., Long-time asymptotics for integrable nonlinear wave equations, 181-204 [Zbl 0926.35132]
Lax, P. D.; Levermore, C. D.; Venakides, S., The generation and propagation of oscillations in dispersive initial value problems and their limiting behavior, 205-241 [Zbl 0819.35122]
Novikov, S. P., Differential geometry and hydrodynamics of soliton lattices, 242-256 [Zbl 0817.35096]
Fokas, A. S.; Gel’fand, I. M., Bi-Hamiltonian structures and integrability, 259-282 [Zbl 0832.58020]
Grinevich, P. G.; Orlov, A. Yu.; Schulman, E. I., On the symmetries of integrable systems, 283-301 [Zbl 0816.35122]
Kac, V. G.; van de Leur, J. W., The \(n\)-component KP hierarchy and representation theory, 302-343 [Zbl 0843.35105]
McKean, H. P., Compatible brackets in Hamiltonian mechanics, 344-354 [Zbl 0842.35106]
Shabat, A. B.; Mikhailov, A. V., Symmetries – Test of integrability, 355-374 [Zbl 0821.35117]
Zakharov, V.; Balk, A.; Schulman, E., Conservation and scattering in nonlinear wave systems, 375-404 [Zbl 0832.35134]
Its, A. R.; Izergin, A. G.; Korepin, V. E.; Slavnov, N. A., The quantum correlation function as the \(\tau\) function of classical differential equations, 407-417 [Zbl 0814.35108]
McCoy, B. M., Lattice models in statistical mechanics and soliton equations, 418-440 [Zbl 0813.35096]
Takhtajan, L. A., Elementary introduction to quantum groups, 441-467 [Zbl 0820.17013]
Wadati, M., Knot theory and integrable systems, 468-486 [Zbl 0813.35101]
Ablowitz, M. J.; Herbst, B. M., Solitons and computation, 489-510 [Zbl 0813.35100]
Deift, P.; Li, L.-C.; Tomei, C., Symplectic aspects of some eigenvalue algorithms, 511-536 [Zbl 0827.65043]
McLaughlin, D. W., Whiskered tori for NLS equations, 537-558 [Zbl 0813.35115]


00B15 Collections of articles of miscellaneous specific interest
35-06 Proceedings, conferences, collections, etc. pertaining to partial differential equations
58-06 Proceedings, conferences, collections, etc. pertaining to global analysis
82-06 Proceedings, conferences, collections, etc. pertaining to statistical mechanics


Soliton theory