Results 11 to 20 of about 422 (246)
Nonlinear Integrable Couplings of Levi Hierarchy and WKI Hierarchy [PDF]
Abstract and Applied Analysis, 2014 With the help of the known Lie algebra, a type of new 8-dimensional matrix Lie algebra is constructed in the paper. By using the 8-dimensional matrix Lie algebra, the nonlinear integrable couplings of the Levi hierarchy and the Wadati-Konno-Ichikawa (WKI)
Zhengduo Shan, Hongwei Yang, Baoshu Yin
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Dispersionless (3+1)-dimensional integrable hierarchies. [PDF]
Proc Math Phys Eng Sci, 2017 In this paper, we introduce a multi-dimensional version of the R -matrix approach to the construction of integrable hierarchies. Applying this method to the case of the Lie algebra of functions with respect to the contact bracket, we construct integrable hierarchies of (3+1)-dimensional dispersionless systems of the
Błaszak M, Sergyeyev A.
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INTEGRABLE HIERARCHIES AND DISPERSIONLESS LIMIT [PDF]
Reviews in Mathematical Physics, 1995 Analogues of the KP and the Toda lattice hierarchy called dispersionless KP and Toda hierarchy are studied. Dressing operations in the dispersionless hierarchies are introduced as a canonical transformation, quantization of which is dressing operators of the ordinary KP and Toda hierarchy.
Takasaki, Kanehisa, Takebe, Takashi
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Witten’s D 4 integrable hierarchies conjecture [PDF]
Chinese Annals of Mathematics, Series B, 2016 We prove that the total descendant potential functions of the theory of Fan-Jarvis-Ruan-Witten for D_4 with symmetry group and D_4^T with symmetry group G_{max}, respectively, are both tau-functions of the D_4 Kac-Wakimoto/Drinfeld-Sokolov hierarchy.
Fan, Huijun +4 more
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Topological Strings and Integrable Hierarchies [PDF]
Communications in Mathematical Physics, 2005 We consider the topological B-model on local Calabi-Yau geometries. We show how one can solve for the amplitudes by using W-algebra symmetries which encodes the symmetries of holomorphic diffeomorphisms of the Calabi-Yau. In the highly effective fermionic/brane formulation this leads to a free fermion description of the amplitudes. Furthermore we argue
Aganagic, M. +4 more
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Manifestly supersymmetric Lax integrable hierarchies [PDF]
Physics Letters B, 1997 A systematic method of constructing manifestly supersymmetric $1+1$-dimensional KP Lax hierarchies is presented. Closed expressions for the Lax operators in terms of superfield eigenfunctions are obtained. All hierarchy equations being eigenfunction equations are shown to be automatically invariant under the (extended) supersymmetry. The supersymmetric
Aratyn, H., Rasinariu, C.
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Integrable Hamiltonian Hierarchies [PDF]
, 2008 Preface In the past decades now a famous class of evolution equations has been discovered and intensively studied, a class including the nowadays celebrated Korteweg-de Vries equation, sine-Gordon equation, nonlinear Schr ̈odinger equation, etc. The equations from this class are known also as the soliton equations or equations solvable by the so ...
GERDJIKOV, VLADIMIR +2 more
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Liouville Correspondences between Integrable Hierarchies [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2017 In this paper, we study explicit correspondences between the integrable Novikov and Sawada-Kotera hierarchies, and between the Degasperis-Procesi and Kaup-Kupershmidt hierarchies. We show how a pair of Liouville transformations between the isospectral problems of the Novikov and Sawada-Kotera equations, and the isospectral problems of the Degasperis ...
Kang, J., Liu, X., Olver, P.J., Qu, C.
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Integrable hierarchies and information measures [PDF]
Journal of Physics A: Mathematical and Theoretical, 2008 11 ...
Parwani, R.R., Pashaev, O.K.
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Conformal Maps and Integrable Hierarchies [PDF]
Communications in Mathematical Physics, 2000 Let \(D\) be simply connected domain in the complex \(z\)-plane bounded by a simple analytic curve \(\Gamma\). The authors show that conformal maps \(D\) onto unit disk \(G_1=\{x \mid|z|
Wiegmann, P. B., Zabrodin, A.
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