Results 51 to 60 of about 4,616 (166)
A super Degasperis-Procesi equation and related integrable systems. [PDF]
Proc Math Phys Eng Sci, 2021 Gao B, Tian K, Liu QP.
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International Journal of Mathematics and Mathematical Sciences, 2006 The Hamiltonian equation provides us an alternate description of the basic physical laws of motion, which is used to be described by Newton's law.
Xuncheng Huang, Guizhang Tu
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Algebro-Geometric Solutions for a Discrete Integrable Equation
Discrete Dynamics in Nature and Society, 2017 With the assistance of a Lie algebra whose element is a matrix, we introduce a discrete spectral problem. By means of discrete zero curvature equation, we obtain a discrete integrable hierarchy. According to decomposition of the discrete systems, the new
Mengshuang Tao, Huanhe Dong
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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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Progresses on Some Open Problems Related to Infinitely Many Symmetries
MathematicsThe quest to reveal the physical essence of the infinitely many symmetries and/or conservation laws that are intrinsic to integrable systems has historically posed a significant challenge at the confluence of physics and mathematics.
Senyue Lou
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Thermalization near Integrability in a Dipolar Quantum Newton’s Cradle
Physical Review X, 2018 Isolated quantum many-body systems with integrable dynamics generically do not thermalize when taken far from equilibrium. As one perturbs such systems away from the integrable point, thermalization sets in, but the nature of the crossover from ...
Yijun Tang +7 more
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The Semidirect Sum of Lie Algebras and Its Applications to C-KdV Hierarchy
Abstract and Applied Analysis, 2014 By use of the loop algebra G-~, integrable coupling of C-KdV hierarchy and its bi-Hamiltonian structures are obtained by Tu scheme and the quadratic-form identity.
Xia Dong, Tiecheng Xia, Desheng Li
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Self-Consistent Sources and Conservation Laws for a Super Broer-Kaup-Kupershmidt Equation Hierarchy
Journal of Applied Mathematics, 2013 Based on the matrix Lie superalgebras and supertrace identity, the integrable super Broer-Kaup-Kupershmidt hierarchy with self-consistent sources is established.
Hanyu Wei, Tiecheng Xia
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Pointwise Bounds for Joint Eigenfunctions of Quantum Completely Integrable Systems. [PDF]
Commun Math Phys, 2020 Galkowski J, Toth JA.
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