Found 81 Documents (Results 1–81)
Three-sheeted Riemann surface and solutions of the Itoh-Narita-Bogoyavlensky lattice hierarchy. (English) Zbl 1498.37112
Long time behaviour of a local perturbation in the isotropic XY chain under periodic forcing. (English) Zbl 1497.82012
Reviewer: A. C. D. van Enter (Groningen)
Multi-mode solitons in a long-short range traffic lattice model with time delay. (English) Zbl 1517.35089
On the construction and integration of a hierarchy for the periodic Toda lattice with a self-consistent source. (English) Zbl 1495.37058
Adiabatic invariants for the FPUT and Toda chain in the thermodynamic limit. (English) Zbl 1462.37082
Reviewer: Utkir A. Rozikov (Tashkent)
Periodic-wave solutions of the two-dimensional Toda lattice equation by a direct method. (English) Zbl 1419.35179
Poisson brackets of mappings obtained as \((q,-p)\) reductions of lattice equations. (English) Zbl 1371.39012
Reviewer: Vladimir Răsvan (Craiova)
Singly periodic solutions of the Allen-Cahn equation and the Toda lattice. (English) Zbl 1321.35054
Reviewer: Satoshi Tanaka (Okayama)
Combinatorial expressions of the solutions to initial value problems of the discrete and ultradiscrete Toda molecules. (English) Zbl 1287.37046
Reviewer: Johanna Michor (Wien)
Quasi-periodic wave solution and asymptotic behavior for the \((2+1)\)-dimensional Toda lattice equation. (English) Zbl 1309.35119
Long-time asymptotics of the periodic Toda lattice under short-range perturbations. (English) Zbl 1301.37055
The discrete \((G^{\prime}/G)\)-expansion method applied to the differential-difference Burgers equation and the relativistic Toda lattice system. (English) Zbl 1252.65112
A kind of explicit Riemann theta functions periodic waves solutions for discrete soliton equations. (English) Zbl 1221.37153
A review study of the 3-particle Toda lattice and higher order truncations. II: The even-order cases. (English) Zbl 1208.37032
Two-periodic waves and asymptotic property for generalized 2D Toda lattice equation. (English) Zbl 1202.35194
Analytic solutions to nonlinear differential-difference equations by means of the extended \((G'/G)\)-expansion method. (English) Zbl 1201.35175
Exact discrete soliton solutions and periodic solutions to (2+1)-dimensional Toda lattice with a new algebraic method. (English) Zbl 1392.37081
Global Birkhoff coordinates for the periodic Toda lattice. (English) Zbl 1167.37029
Reviewer: Milena Radnovic (Beograd)
A kind of explicit quasi-periodic solution and its limit for the Toda lattice equation. (English) Zbl 1151.82320
Soliton-like and periodic form solutions to \((2+1)\)-dimensional Toda equation. (English) Zbl 1138.35404
A symbolic computational method for constructing exact solutions to difference-differential equations. (English) Zbl 1100.65083
Periodic multiwave solutions to the Toda-type cellular automaton. (English) Zbl 1087.37055
Reviewer: Utkir Rozikov (Tashkent)
On periodic motions of a two dimensional Toda type chain. (English) Zbl 1096.37049
Reviewer: Jens Rademacher (Berlin)
Topology of the real part of the hyperelliptic Jacobian associated with the periodic Toda lattice. (English. Russian original) Zbl 1067.37113
Theor. Math. Phys. 133, No. 3, 1692-1711 (2002); translation from Teor. Mat. Fiz. 133, No. 3, 439-462 (2002).
Classical integrable systems: selected topics. (English) Zbl 1078.81034
Olshanetsky, M. et al., Multiple facets of quantization and supersymmetry. Michael Marinov memorial volume. Singapore: World Scientific (ISBN 981-238-072-8/hbk). 267-309 (2002).
Reviewer: Miloslav Znojil (Řež)
Initial-value problem of the discrete periodic Toda equation and its ultradiscretization. (English) Zbl 1021.35116
Solutions of the periodic Toda lattice by the projection and the algebraic-geometric methods. (English. Russian original) Zbl 1029.37036
Theor. Math. Phys. 128, No. 3, 1225-1235 (2001); translation from Teor. Mat. Fiz. 128, No. 3, 461-473 (2001).
A novel solvable many-body problem with elliptic interactions. (English) Zbl 0974.37045
Reviewer: Giuseppe Gaeta (Roma)
Periodic motions of forced infinite lattices with nearest neighbor interaction. (English) Zbl 0999.82050
The spinning tops. Course of integrable systems. Transl. from the English. (Vrashchayushchiesya volchki. Kurs integriruemykh sistem.) (Russian) Zbl 1054.37505
Izhevsk: Nauchno-Izdatel’skij Tsentr “Regulyarnaya i Khaoticheskaya Dinamika” (ISBN 5-7029-0312-9/pbk). 296 p. (1999).
Integrable mappings of KdV type and hyperelliptic addition theorems. (English) Zbl 0928.37015
Clarkson, Peter A. (ed.) et al., Symmetries and integrability of difference equations. Proceedings of the 2nd international conference, Canterbury, UK, July 1–5, 1996. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 255, 64-78 (1999).
Reviewer: Serguei Zelik (Moskva)
Hamiltonian structure of non-Abelian Toda lattice. (English) Zbl 0959.37052
Reviewer: V.Perlick (Berlin)
A Lie theoretic Galois theory for the spectral curves of an integrable system. II. (English) Zbl 0868.58046
Separation of variables for the \({\mathfrak D}_n\)-type periodic Toda lattice. (English) Zbl 0935.37038
Reviewer: Samir Musayev (Baku)
A rational flow for the Toda lattice equations. (English) Zbl 0884.93033
Helmke, Uwe (ed.) et al., Operators, systems, and linear algebra. Three decades of algebraic systems theory. Dedicated to Paul A. Fuhrmann on the occasion of his 60th birthday. Stuttgart: B. G. Teubner. Eur. Consortium Math. Ind. 33-44 (1997).
Reviewer: L.E.Faibusovich (Cambridge/Mass.)
Applications of loop groups and standard modules to Jacobians and theta functions of isospectral curves. (English) Zbl 0865.14010
Reviewer: Willi Schwarz (Leimen)
Spinning tops. A course on integrable systems. (English) Zbl 0867.58034
Cambridge Studies in Advanced Mathematics. 51. Cambridge: Cambridge Univ. Press. 139 p. (1996).
Reviewer: A.Akutowicz (Berlin)
Large perturbations of Toda lattices. (English) Zbl 0846.34034
Lakshmikantham, V. (ed.), World congress of nonlinear analysts ’92. Proceedings of the first world congress, Tampa, FL, USA, August 19-26, 1992. 4 volumes. Berlin: de Gruyter. 561-569 (1996).
Ground state of the quantum periodic Toda lattice in the large-\(N\) limit. (English) Zbl 0916.58039
Global solutions of the elliptic 2D periodic Toda lattice. (English) Zbl 0840.58023
Nonlinearity 7, No. 1, 85-108 (1994); corrigendum ibid. 8, No. 4, 629-630 (1995).
On periodic motions of lattices of Toda type via critical point theory. (English) Zbl 0809.34056
Reviewer: Chang Kungching (Beijing)
A Lie theoretic Galois theory for the spectral curves of an integrable system. I. (English) Zbl 0766.58030
Reviewer: E.D.Belokolos (Kiev)
Group-theoretical methods for integration of nonlinear dynamical systems. Transl. from the Russian by D. A. Leites. (English) Zbl 0746.58004
Progress in Physics. 15. Basel etc.: Birkhäuser. xvii, 290 p. (1992).
The periodic Toda chain and a matrix generalization of the Bessel function recursion relations. (English) Zbl 0768.58023
Reviewer: M.Puta (Timişoara)
Integrability condition and finite-periodic Toda lattice. (English) Zbl 0718.58030
Reviewer: I.Ya.Dorfman (Moskva)
Barrier billards - A simple pseudo-integrable system. (English) Zbl 0714.70015
Reviewer: E.D.Belokolos
Orbital behaviour transition from the Henon-Heiles to the three-particle Toda lattice Hamiltonian. (English) Zbl 0706.70030
Reviewer: H.Crauel
Homoclinic and heteroclinic phenomena in some Hamiltonian systems. (English) Zbl 0669.70020
Hamiltonian dynamical systems, Proc. AMS-IMS-SIAM Jt. Summer Res. Conf., Boulder/Color. 1987, Contemp. Math. 81, 193-212 (1988).
Representations of sl(n,\({\mathbb{C}})\) and the Toda lattice. (English) Zbl 0645.58024
Reviewer: T.Ratiu
Periodic fixed points of Bäcklund transformations. (English) Zbl 0648.58043
Reviewer: G.Warnecke
The Goryachev-Chaplygin top and the Toda lattice. (English) Zbl 0638.58010
Reviewer: E.D.Belokolos
Systemes hamiltoniens: leurs solutions périodiques. Avec la collaboration de Dominique Aze. (French) Zbl 0524.70018
Textes Mathematiques, Recherche, 5. Paris: Cedic/Fernand Nathan. III, 290 p. FF 158.00 (1982).
Poisson commutativity and the generalized periodic Toda lattice. (English) Zbl 0485.58010
Differential geometric methods in mathematical physics, Proc. int. Conf., Clausthal/FRG 1980, Lect. Notes Math. 905, 12-28 (1982).
Reviewer: Mircea Puta (Timişoara)
Graded algebras of the second rank and integration of nonlinear equations \(Y_{zz}=\exp(2Y)-\exp(-2Y)\), \(Y_{zz}=2\exp(Y)-\exp(-2Y)\). (English) Zbl 0465.35019
The construction of Jacobi and periodic Jacobi matrices with prescribed spectra. (English) Zbl 0457.65020
Finite-zone almost periodic solutions in WKB-approximations. (Endlichzonige fastperiodische Lösungen in WKB-Approximationen.) (Russian) Zbl 0446.35008
Itogi Nauki Tekh., Ser. Sovrem. Probl. Mat. 15, 3-94 (1980).
Reviewer: L. A. Sakhnovich
The construction of Jacobi and periodic Jacobi matrices with prescribed spectra. (English) Zbl 0457.65019
Numerical analysis and computers, Proc. Army Conf. 1979, ARO Rep. 79-3, 411-431 (1979).
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