Results 31 to 40 of about 613,197 (287)
Lax Pairs for the Discrete Reduced Nahm Systems [PDF]
Mathematical Physics, Analysis and Geometry, 2021 We discretise the Lax pair for the reduced Nahm systems and prove its equivalence with the Kahan-Hirota-Kimura discretisation procedure. We show that these Lax pairs guarantee the integrability of the discrete reduced Nahm systems providing an invariant.
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A Comprehensive Study of the Complex mKdV Equation through the Singular Manifold Method
Mathematics, 2023 In this paper, we introduce a modification of the Singular Manifold Method in order to derive the associated spectral problem for a generalization of the complex version of the modified Korteweg–de Vries equation.
Paz Albares, Pilar G. Estévez
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Lax pair for strings in Lunin-Maldacena background [PDF]
Journal of High Energy Physics, 2005 Recently Lunin and Maldacena used an SL(3,R) transformation of the AdS_5 x S^5 background to generate a supergravity solution dual to a so-called beta-deformation of N = 4 super Yang-Mills theory. We use a T-duality-shift-T-duality (TsT) transformation to obtain the beta-deformed background for real beta, and show that solutions of string theory ...
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Mathematics, 2019 In this paper, the Lax pair of the modified nonlinear Schrödinger equation (mNLS) is derived by means of the prolongation structure theory. Based on the obtained Lax pair, the mNLS equation on the half line is analyzed with the assistance of Fokas ...
Tongshuai Liu, Huanhe Dong
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On the Propagation Model of Two-Component Nonlinear Optical Waves
Axioms, 2023 Currently, two-component integrable nonlinear equations from the hierarchies of the vector nonlinear Schrodinger equation and the vector derivative nonlinear Schrödinger equation are being actively investigated.
Aleksandr O. Smirnov, Eugeni A. Frolov
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The Lax pairs for the Holt system [PDF]
Journal of Physics A: Mathematical and General, 1999 By using non-canonical transformation between the Holt system and the Henon-Heiles system the Lax pairs for all the integrable cases of the Holt system are constructed from the known Lax representations for the Henon-Heiles system.
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Lagrangian and Hamiltonian structures in an integrable hierarchy and space–time duality
Nuclear Physics B, 2016 We define and illustrate the novel notion of dual integrable hierarchies, on the example of the nonlinear Schrödinger (NLS) hierarchy. For each integrable nonlinear evolution equation (NLEE) in the hierarchy, dual integrable structures are characterized ...
Jean Avan +3 more
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Advanced Science, EarlyView.In PWS‐ASPCs, FOSL1 drives the expression of SPSB1. SPSB1, as part of the ESC complex, further binds to HDAC1 and promotes K29‐linked and K48‐linked polyubiquitination of HDAC1. These modifications facilitate the degradation of HDAC1 through the ALP and UPS pathways, respectively.
Hongrui Chen +5 more
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NONLINEAR EQUATION WITH THE THIRD ORDER SCATTERING OPERATOR
Наука. Инновации. Технологии, 2022 Introduction: most of the differential equations associated with soliton mathematics are obtained using the Lax operator equation or the zero-curvature equation, which are the compatibility condition for a pair of linear differential systems. The case in
Olga Sergeevna Yanovskaya +1 more
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Advanced Science, EarlyView.An AI‐enabled digital twin framework integrates wearable EMG sensing with hierarchical multi‐domain fusion to classify chronic ankle instability, distinguish clinically relevant subtypes, and generate continuous motor function scores. Clinically interpretable functional stratification and SHAP‐based biomarker analysis provide transparent decision ...
Tianle Jie +12 more
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