Results 21 to 30 of about 3,291 (79)

Continuous and Discrete (Classical) Heisenberg Spin Chain Revised [PDF]

, 2006
Most of the work done in the past on the integrability structure of the Classical Heisenberg Spin Chain (CHSC) has been devoted to studying the $su(2)$ case, both at the continuous and at the discrete level.
Ragnisco, Orlando, Zullo, Federico
core   +6 more sources

Group-invariant soliton equations and bi-Hamiltonian geometric curve flows in Riemannian symmetric spaces

, 2007
Universal bi-Hamiltonian hierarchies of group-invariant (multicomponent) soliton equations are derived from non-stretching geometric curve flows $\map(t,x)$ in Riemannian symmetric spaces $M=G/H$, including compact semisimple Lie groups $M=K$ for $G=K ...
Anco, Anco, Anco, Anco, Anco, Athorne, Athorne, Bishop, Chou, Chou, Chou, Chou, Doliwa, Dorfman, Goldstein, Guggenheimer, Gurses, Helgason, Kobayashi, Lamb, Langer, Magri, Magri, Mari Beffa, Mari Beffa, Nakayama, Olver, Sanders, Sanders, Sergyeyev, Sharpe, Sokolov, Stephen C. Anco, Wang   +33 more
core   +4 more sources

Hurwitz theorem and parallelizable spheres from tensor analysis [PDF]

, 2001
By using tensor analysis, we find a connection between normed algebras and the parallelizability of the spheres S$^1$, S$^3$ and S$^7.$ In this process, we discovered the analogue of Hurwitz theorem for curved spaces and a geometrical unified formalism ...
De Sinaloa, Facultad De Ciencias Físico-matemáticas, J. A. Nieto, L. N. Alejo-armenta   +3 more
core   +4 more sources

A Unified Algebraic Approach to Classical Yang-Baxter Equation

, 2007
In this paper, the different operator forms of classical Yang-Baxter equation are given in the tensor expression through a unified algebraic method.
Bakalov B, Balinskii A A, Chapoton F, Chari V, Chengming Bai, Diatta A Medina A, Drinfel'd V, Etingof P, Faddeev L D, Faddeev L D, Jacobson N, Kaneyuki S, Kim H, Koszul J-L, Kupershmidt B A, Medina A, Schouten J A, Vinberg E B, Winterhalder A, Zel'manov E I   +19 more
core   +2 more sources

Algebraic solitons in the massive Thirring model. [PDF]

Physical Review E
We present exact solutions describing dynamics of two algebraic solitons in the massive Thirring model. Each algebraic soliton corresponds to a simple embedded eigenvalue in the Kaup-Newell spectral problem and attains the maximal mass among the family ...
Jiaqi Han, Cheng He, Dmitry E. Pelinovsky   +2 more
semanticscholar   +1 more source

On a novel integrable generalization of the nonlinear Schr\"odinger equation

, 2008
We consider an integrable generalization of the nonlinear Schr\"odinger (NLS) equation that was recently derived by one of the authors using bi-Hamiltonian methods.
A S Fokas, Calogero F, Constantin A, Gel'fand I M, J Lenells, Lenells J   +5 more
core   +2 more sources

Graded Poisson-Sigma Models and Dilaton-Deformed 2D Supergravity Algebra [PDF]

, 2002
Fermionic extensions of generic 2d gravity theories obtained from the graded Poisson-Sigma model (gPSM) approach show a large degree of ambiguity. In addition, obstructions may reduce the allowed range of fields as given by the bosonic theory, or even ...
B.M. Barbashov, C. Brans, C. Teitelboim, C. Teitelboim, C.G. Callan Jr., D. Grumiller, D. Lüst, D.Z. Freedman, D.Z. Freedman, F. Haider, H. Grosse, H.-J. Schmidt, J. Gegenberg, J. Polchinski, J.M. Izquierdo, J.P.S. Lemos, L. Bergamin, L. Bergamin, Luzi Bergamin, M. Ertl, M. Fierz, M.B. Green, M.F. Ertl, M.M. Leite, M.O. Katanaev, M.O. Katanaev, M.O. Katanaev, M.O. Katanaev, N. Ikeda, N. Ikeda, P. Hajicek, P. Jordan, P. Jordan, P. Schaller, P. Schaller, P. Thomi, P.S. Howe, R. Arnowitt, R. Grimm, R. Jackiw, R. Jackiw, R.H. Dicke, S. Deser, S. Deser, T. Banks, Wolfgang Kummer, Y.-c. Park   +46 more
core   +2 more sources

Almost Schouten solitons and perfect fluid spacetimes

Filomat
In this study, we assume that a perfect fluid is the source of the gravitational field while analyzing the solutions to the Einstein field equations.
Arpan Sardar, Changhwa Woo, U. De
semanticscholar   +1 more source

On integrability of the Camassa-Holm equation and its invariants. A geometrical approach [PDF]

, 2008
Using geometrical approach exposed in arXiv:math/0304245 and arXiv:nlin/0511012, we explore the Camassa-Holm equation (both in its initial scalar form, and in the form of 2x2-system). We describe Hamiltonian and symplectic structures, recursion operators
Golovko, Valentina, Kersten, Paul, Krasil'shchik, Iosif, Verbovetsky, Alexander   +3 more
core   +4 more sources

On the formalism of local variational differential operators [PDF]

, 2002
The calculus of local variational differential operators introduced by B. L. Voronov, I. V. Tyutin, and Sh. S. Shakhverdiev is studied in the context of jet super space geometry.
Igonin, S., Verbovetsky, A.V., Vitolo, R.   +2 more
core   +1 more source