Results 41 to 50 of about 4,761,670 (353)

Variational symmetries and pluri-Lagrangian structures for integrable hierarchies of PDEs [PDF]

European Journal of Mathematics, 2019
We investigate the relation between pluri-Lagrangian hierarchies of 2-dimensional partial differential equations and their variational symmetries. The aim is to generalize to the case of partial differential equations the recent findings in Petrera and ...
M. Petrera, Mats Vermeeren
semanticscholar   +1 more source

Intertwining operator and integrable hierarchies from topological strings

Journal of High Energy Physics, 2021
In [1], Nakatsu and Takasaki have shown that the melting crystal model behind the topological strings vertex provides a tau-function of the KP hierarchy after an appropriate time deformation.
Jean-Emile Bourgine
doaj   +1 more source

dbar-equations, integrable deformations of quasiconformal mappings and Whitham hierarchy [PDF]

, 2001
It is shown that the dispersionless scalar integrable hierarchies and, in general, the universal Whitham hierarchy are nothing but classes of integrable deformations of quasiconformal mappings on the plane.
Ahlfors, B. Konopelchenko, Bojarski, Carleson, Dubrovin, Dubrovin, Dubrovin, Gibbons, Iwaniec, Kodama, Kodama, Konopelchenko, Krichever, Krichever, Krichever, Kruskal, L. Martı́nez Alonso, Lawrynowicz, Lax, Lehto, Lehto, Takasaki, Takasaki, Vekua, Wiegmann, Zakharov, Zakharov   +26 more
core   +2 more sources

Cubic Hodge integrals and integrable hierarchies of Volterra type [PDF]

, 2019
A tau function of the 2D Toda hierarchy can be obtained from a generating function of the two-partition cubic Hodge integrals. The associated Lax operators turn out to satisfy an algebraic relation.
K. Takasaki
semanticscholar   +1 more source

A Few Kinds of Loop Algebras and Some Applications

Axioms
In this paper, we search for some approaches for generating (1+1)-dimensional, (2+1)-dimensional and (3+1)-dimensional integrable equations by making use of various Lie algebras and the corresponding loop algebras under the frame of the Tu scheme.
Yanmei Sun, Weiwei Zhang, Nina Xue, Yufeng Zhang   +3 more
doaj   +1 more source

A new kind of anomaly: on W-constraints for GKM

Journal of High Energy Physics, 2021
We look for the origins of the single equation, which is a peculiar combination of W-constrains, which provides the non-abelian W-representation for generalized Kontsevich model (GKM), i.e. is enough to fix the partition function unambiguously. Namely we
A. Morozov
doaj   +1 more source

Dispersionless integrable equations as coisotropic deformations. Extensions and reductions

, 2006
Interpretation of dispersionless integrable hierarchies as equations of coisotropic deformations for certain algebras and other algebraic structures like Jordan triple systInterpretation of dispersionless integrable hierarchies as equations of ...
A. Boyasky, A. Weinstein, B. G. Konopelchenko, B. G. Konopelchenko, B. G. Konopelchenko, E. Witten, F. Magri, G. D. Birkhoff, G. Falqui, I. M. Krichever, I. M. Krichever, J. Hietarinta, K. Takasaki, K. Takasaki, K. Takasaki, L. C. Li, M. Błaszak, N. Jacobson, V. E. Zakharov, V. E. Zakharov, V. V. Kozlov, Y. Kodama   +21 more
core   +1 more source

Zero Curvature Formalism for Supersymmetric Integrable Hierarchies in Superspace [PDF]

, 1997
We generalize the Drinfeld-Sokolov formalism of bosonic integrable hierarchies to superspace, in a way which systematically leads to the zero curvature formulation for the supersymmetric integrable systems starting from the Lax equation in superspace. We
A. Das, C. Rasinariu, Gelfand I. M., H. Aratyn, Popowicz Z.   +4 more
core   +2 more sources

Integrable discretizations of the spin Ruijsenaars-Schneider models

, 1996
Integrable discretizations are introduced for the rational and hyperbolic spin Ruijsenaars--Schneider models. These discrete dynamical systems are demonstrated to belong to the same integrable hierarchies as their continuous--time counterparts.
Krichever I., Orlando Ragnisco, Yuri B. Suris   +2 more
core   +1 more source

Nonlinear Dynamics on the Plane and Integrable Hierarchies of Infinitesimal Deformations [PDF]

, 2002
A class of nonlinear problems on the plane, described by nonlinear inhomogeneous $\bar{\partial}$-equations, is considered. It is shown that the corresponding dynamics, generated by deformations of inhomogeneous terms (sources) is described by Hamilton ...
Alonso, L. Martinez, Konopelchenko, B.
core   +3 more sources