Results 21 to 30 of about 1,858,479 (279)
Lax Pairs for Linear Hamiltonian Systems [PDF]
Siberian Mathematical Journal, 2019 In the paper Lax pairs for linear Hamiltonian systems of differential equations are constructed. In particular, Gr bner bases are used for the computations. It is proved that the maps which appear in the construction of Lax pairs are Poisson. Various properties of first integrals of the system which are obtained from the Lax pairs are investigated.
Zheglov, A. B., Osipov, D. V.
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Lax pair for the Adler (lattice Krichever–Novikov) system [PDF]
Physics Letters A, 2002 17 pages, 3 ...
F.W. Nijhoff
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Group similarity solutions of (2 + 1) Boiti-Leon-Manna-Pempinelli Lax pair
Ain Shams Engineering Journal, 2014 In this paper, a two parameter group transformation is applied to the Lax pair of a (2+1) Boiti–Leon–Manna–Pempinelli (BMLP). Three similarity variables are derived.
S. Mabrouk, M. Kassem
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Integrability via geometry: dispersionless differential equations in three and four dimensions [PDF]
, 2019 We prove that the existence of a dispersionless Lax pair with spectral parameter for a nondegenerate hyperbolic second order partial differential equation (PDE) is equivalent to the canonical conformal structure defined by the symbol being Einstein-Weyl ...
Calderbank, David M. J. +1 more
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Constraints and Soliton Solutions for the KdV Hierarchy and AKNS Hierarchy [PDF]
, 2010 It is well-known that the finite-gap solutions of the KdV equation can be generated by its recursion operator.We generalize the result to a special form of Lax pair, from which a method to constrain the integrable system to a lower-dimensional or fewer ...
C.W. Cao +6 more
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Lax pairs for new ZN-symmetric coset σ-models and their Yang-Baxter deformations
Nuclear Physics B, 2022 Two-dimensional σ-models with ZN-symmetric homogeneous target spaces have been shown to be classically integrable when introducing WZ-terms in a particular way. This article continues the search for new models of this type now allowing some kinetic terms
David Osten
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Symmetry Reductions of (2 + 1)-Dimensional CDGKS Equation and Its Reduced Lax Pairs
Journal of Applied Mathematics, 2014 With the aid of symbolic computation, we obtain the symmetry transformations of the (2 + 1)-dimensional Caudrey-Dodd-Gibbon-Kotera-Sawada (CDGKS) equation by Lou’s direct method which is based on Lax pairs. Moreover, we use the classical Lie group method
Na Lv, Xuegang Yuan, Jinzhi Wang
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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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Weak Lax pairs for lattice equations [PDF]
Nonlinearity, 2012 We consider various 2D lattice equations and their integrability, from the point of view of 3D consistency, Lax pairs and B cklund transformations. We show that these concepts, which are associated with integrability, are not strictly equivalent.
Jarmo Hietarinta, Claude Viallet
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Non-relativistic string monodromies
Journal of High Energy Physics, 2023 Spectral curve methods proved to be powerful techniques in the context of relativistic integrable string theories, since they allow us to derive the semiclassical spectrum from the minimal knowledge of a Lax pair and a classical string solution.
Andrea Fontanella +2 more
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