Results 11 to 20 of about 20,937 (290)
A novel hierarchy of integrable lattices [PDF]
Inverse Problems, 1994 In the framework of the reduction technique for Poisson-Nijenhuis structures, we derive a new hierarchy of integrable lattice, whose continuum limit is the AKNS hierarchy. In contrast with other differential-difference versions of the AKNS system, our hierarchy is endowed with a canonical Poisson structure and, moreover, it admits a vector ...
MEROLA, IMMACOLATA +2 more
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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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Formal Diagonalisation of Lax-Darboux Schemes
Моделирование и анализ информационных систем, 2015 We discuss the concept of Lax-Darboux scheme and illustrate it on well known examples associated with the Nonlinear Schro¨dinger (NLS) equation. We explore the Darboux links of the NLS hierarchy with the hierarchy of Heisenberg model, principal chiral ...
A. V. Mikhailov
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Integrable discretization of recursion operators and unified bilinear forms to soliton hierarchies [PDF]
Open Communications in Nonlinear Mathematical Physics, 2017 In this paper, we give a procedure for discretizing recursion operators by utilizing unified bilinear forms within integrable hierarchies. To illustrate this approach, we present unified bilinear forms for both the AKNS hierarchy and the KdV hierarchy ...
Xingbiao Hu, Guofu Yu, Yingnan Zhang
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Coupled Modified KP Hierarchy and Its Dispersionless Limit [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2006 We define the coupled modified KP hierarchy and its dispersionless limit. This integrable hierarchy is a generalization of the ''half'' of the Toda lattice hierarchy as well as an extension of the mKP hierarchy.
Takashi Takebe, Lee-Peng Teo
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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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A generalized isospectral–nonisospectral heat equation hierarchy and its expanding integrable model
Advances in Difference Equations, 2020 A generalized nonisospectral heat integrable hierarchy with three dependent variables is singled out. A Bäcklund transformation of a resulting isospectral integrable hierarchy is produced by converting the usual Lax pair into the Lax pairs in Riccati ...
Huanhuan Lu, Yufeng Zhang, Jianqin Mei
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Kadomtsev–Petviashvili Hierarchy: Negative Times
Mathematics, 2021 The Kadomtsev–Petviashvili equation is known to be the leading term of a semi-infinite hierarchy of integrable equations with evolutions given by times with positive numbers. Here, we introduce new hierarchy directed to negative numbers of times.
Andrei K. Pogrebkov
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