Results 21 to 30 of about 4,590 (301)
Time-like boundary conditions in the NLS model
Nuclear Physics B, 2019 We focus on the non-linear Schrödinger model and we extend the notion of space-time dualities in the presence of integrable time-like boundary conditions.
Anastasia Doikou +2 more
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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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The anisotropic λ-deformed SU(2) model is integrable
Physics Letters B, 2015 The all-loop anisotropic Thirring model interpolates between the WZW model and the non-Abelian T-dual of the anisotropic principal chiral model.
Konstantinos Sfetsos +1 more
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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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Frontiers in Physics, 2022 In this paper, a new (2 + 1)-dimensional nonlinear evolution equation is investigated. This equation is called the Kadomtsev–Petviashvili–Sawada–Kotera–Ramani equation, which can be seen as the two-dimensional extension of the Korteweg–de Vries–Sawada ...
Baoyong Guo
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NONLINEAR EQUATIONS WITH INTEGRATED OPERATOR STRUCTURES
Вестник Северо-Кавказского федерального университета, 2022 The article is devoted to the construction of nonlinear equations with partial derivatives possessing Lax operator structure. The presence of Lax pair is supposed to allow to integrate the obtained equations with the help of the inverse scattering ...
Valentina M. Karslieva
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Framed Curve Families Induced by Real and Complex Coupled Dispersionless-Type Equations
Mathematics, 2023 In this study, we investigate coupled real and complex dispersionless equations for curve families, even if they have singular points. Even though the connections with the differential equations and regular curves were considered in various ways in the ...
Nikola Popović +3 more
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Lax pairs for integrable lattice systems [PDF]
Journal of Mathematical Physics, 1999 This paper studies the structure of Lax pairs associated with integrable lattice systems (where space is a one-dimensional lattice, and time is continuous). It describes a procedure for generating examples of such systems, and emphasizes the features that are needed to obtain equations which are local on the spatial lattice.
openaire +2 more sources
On integrability of 2-dimensional σ-models of Poisson-Lie type
Journal of High Energy Physics, 2017 We describe a simple procedure for constructing a Lax pair for suitable 2- dimensional σ-models appearing in Poisson-Lie T ...
Pavol Ševera
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The Derivation of a Fifth-Order Equation via the Lax and the Alternate Lax Methods
Cumhuriyet Science JournalWe present the derivation of a fifth-order integrable nonlinear partial differential equation via the Lax method and the alternate Lax method in the continuous case.
Mehmet Ünlü
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