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Ryzhik, L. V.; Shul’man, E. I.

Symmetry algebra of nonlinear integrable equations. (English. Russian original) Zbl 0852.35129

Theor. Math. Phys. 94, No. 4, 387-392 (1993); translation from Teor. Mat. Fiz. 95, No. 1, 34-41 (1993).

MSC: 35Q53 58J70 81U40

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Grinevich, P. G.; Orlov, A. Yu.; Schulman, E. I.

On the symmetries of integrable systems. (English) Zbl 0816.35122

Fokas, A. S. (ed.) et al., Important developments in soliton theory. Berlin: Springer-Verlag. Springer Ser. Nonlinear Dyn. 283-301 (1993).

Reviewer: V.A.Yumaguzhin (Pereslavl’-Zalesskij)

MSC: 35Q53 58J70

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The Cauchy problem for doubly periodic solutions of KP-II equation. (English) Zbl 0854.35101

Fokas, A. S. (ed.) et al., Important developments in soliton theory. Berlin: Springer-Verlag. Springer Ser. Nonlinear Dyn. 123-146 (1993).

Reviewer: V.A.Yumaguzhin (Pereslavl’-Zalesskij)

MSC: 35Q53 35Q51 35B10

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Dispersion relations for nonlinear waves and the Schottky problem. (English) Zbl 0811.35121

Fokas, A. S. (ed.) et al., Important developments in soliton theory. Berlin: Springer-Verlag. Springer Ser. Nonlinear Dyn. 86-98 (1993).

MSC: 35Q53 58B20 53C21 14K25

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Some models in differential geometry. (English. Russian original) Zbl 0860.46048

J. Math. Sci., New York 80, No. 3, 1837-1853 (1996); translation from Zap. Nauchn. Semin. POMI 205, 122-153 (1993).

MSC: 46L87 55R50

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Konopelchenko, B. G.

Solitons in multidimensions. Inverse spectral transform method. (English) Zbl 0836.35002

Singapore: World Scientific Publishing. viii, 294 p. (1993).

Reviewer: T.Aktosun (Fargo)

MSC: 35-02 35Q51 37J35 37K10 35Q40 35R30 35P25 81U40

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Clarkson, P. A.

Nonclassical symmetry reductions of nonlinear partial differential equations. (English) Zbl 0805.35092

Math. Comput. Modelling 18, No. 10, 45-68 (1993).

MSC: 35Q35 35Q53 58J70 35Q55

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Mulase, Motohico

Geometric classification of \(\mathbb{Z}_ 2\)-commutative algebras of super differential operators. (English) Zbl 0809.58041

Mabuchi, Toshiki (ed.) et al., Einstein metrics and Yang-Mills connections. Proceedings of the 27th Taniguchi international symposium, held at Sanda, Japan, December 6-11, 1990. New York: Marcel Dekker, Inc.. Lect. Notes Pure Appl. Math. 145, 161-180 (1993).

Reviewer: I.Mihai (Bucureşti)

MSC: 58J40 47G30 81T60

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The negative weight KP hierarchy. (English) Zbl 0786.35112

Clarkson, Peter A. (ed.), Applications of analytic and geometric methods to nonlinear differential equations. Proceedings of the NATO Advanced Research Workshop, Exeter, United Kingdom, July 14-19, 1992. Dordrecht: Kluwer Academic Publishers. NATO ASI Ser., Ser. C, Math. Phys. Sci. 413, 139-148 (1993).

MSC: 35Q53 58J70 81R10

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Explicit construction of group varieties related to soliton solutions of the KP hierarchy. (English) Zbl 0814.14042

Ann. Mat. Pura Appl., IV. Ser. 164, 121-132 (1993).

Reviewer: T.Siebert (Kaiserslautern)

MSC: 14K25 14F10 14L10

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Yu, Feng; Wu, Yong-Shi

On the Kadomtsev-Petviashvili hierarchy, \(\widehat {W}_ \infty\) algebra, and conformal \(\text{SL}(2,\mathbb{R})/\text{U}(1)\) model. I: The classical case. (English) Zbl 0786.58021

J. Math. Phys. 34, No. 12, 5851-5871 (1993).

MSC: 37J35 37K10 35Q58 81T40 81R10 17B68

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Fuchssteiner, Benno

Integrable nonlinear evolution equations with time-dependent coefficients. (English) Zbl 0813.35107

J. Math. Phys. 34, No. 11, 5140-5158 (1993).

MSC: 35Q53 37J35 37K10

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Das, G. C.; Sen, K. M.

Transient behaviour of cylindrical solitons in multicomponent plasma with negative ions. (English) Zbl 0802.76098

Chaos Solitons Fractals 3, No. 5, 551-562 (1993).

MSC: 76X05 35Q51

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The tau-function and Poincaré series. (English) Zbl 0787.35091

Appl. Math. Lett. 6, No. 4, 25-29 (1993).

MSC: 35Q53 37J35 37K10 35C10

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Oevel, W.; Strampp, W.

Constrained KP hierarchy and bi-Hamiltonian structures. (English) Zbl 0793.35095

Commun. Math. Phys. 157, No. 1, 51-81 (1993).

Reviewer: Valeriy A. Yumaguzhin (Pereslavl’-Zalesskiy)

MSC: 35Q53 58J72 37K10 37C10

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Baker, T. H.; Jarvis, P. D.; Yung, C. M.

Hirota polynomials for the KP and BKP hierarchies. (English) Zbl 0807.35122

Lett. Math. Phys. 29, No. 1, 55-62 (1993).

Reviewer: Ch.Athorne (Glasgow)

MSC: 35Q53 37J35 37K10 05E05 17B67

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Oevel, W.; Rogers, C.

Gauge transformations and reciprocal links in \(2+1\) dimensions. (English) Zbl 0780.35101

Rev. Math. Phys. 5, No. 2, 299-330 (1993).

MSC: 35Q53 58J72 35S05

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On the Cauchy problem for the Kadomtsev-Petviashvili equation. (English) Zbl 0787.35086

Geom. Funct. Anal. 3, No. 4, 315-341 (1993).

Reviewer: L.Vazquez (Madrid)

MSC: 35Q53 42B10 31B10

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Belov, A. A.; Chaltikian, K. D.

Lattice analogue of the \(W_\infty\) algebra and discrete KP-hierarchy. (English) Zbl 0909.58018

Phys. Lett., B 317, No. 1-2, 64-72 (1993).

MSC: 37J35 37K10 81R10 17B68

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Andreev, V. A.; Shmakova, M. V.

Hierarchy of lower Korteweg-de Vries equations and supersymmetry structure of Miura transformations. (English) Zbl 0780.35096

J. Math. Phys. 34, No. 8, 3491-3506 (1993).

MSC: 35Q53 58J72 81Q60

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On some models in differential geometry. (Russian. English summary) Zbl 0813.46067

Zap. Nauchn. Semin. POMI 205, 122-153 (1993).

MSC: 46L87 55R50

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Aizicovici, Sergiu; Wen, Shih-Liang

Anti-periodic traveling wave solutions to a forced two-dimensional generalized Korteweg-de Vries equation. (English) Zbl 0783.35060

J. Math. Anal. Appl. 174, No. 2, 556-565 (1993).

Reviewer: B.A.Malomed (Ramat Aviv)

MSC: 35Q53 76B25

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Villarroel, Javier; Ablowitz, Mark J.

On the inverse scattering transform of the 2+1 Toda equation. (English) Zbl 0771.35065

Physica D 65, No. 1-2, 48-70 (1993).

MSC: 35Q53 58J72 35R30 39A12

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