Zobrazeno 1 - 10
of 5 494
pro vyhledávání: '"Lou, S"'
Autor:
Lou, S. Y.
The quest to reveal the physical essence of the infinitely many symmetries and conservation laws that are intrinsic to integrable systems has historically posed a significant challenge at the confluence of physics and mathematics. This scholarly inve
Externí odkaz:
http://arxiv.org/abs/2406.00208
Autor:
Lou, S. Y.
Publikováno v:
Physica D 464(2024)134199
Dark equations are defined as some kinds of integrable couplings with some fields being homogeneously and linearly coupled to others. In this paper, dark equations are extended in several aspects. Taking the Korteweg-de Vrise (KdV) equation as an exa
Externí odkaz:
http://arxiv.org/abs/2312.14538
Autor:
Lou, S. Y., Jia, M.
Integrable systems constitute an essential part of modern physics. Traditionally, to approve a model is integrable one has to find its infinitely many symmetries or conserved quantities. In this letter, taking the well known Korteweg-de Vries and Bou
Externí odkaz:
http://arxiv.org/abs/2309.06729
Autor:
Lou, S. Y.
Publikováno v:
Commun. Theor. Phys. 76 (2024) 035006
A new type of symmetry, ren-symmetry describing anyon physics and the corresponding topological physics, is proposed. Ren-symmetry is a generalization of super-symmetry which is widely applied in super-symmetric physics such as the super-symmetric qu
Externí odkaz:
http://arxiv.org/abs/2305.12388
Autor:
Hao, Xiazhi, Lou, S. Y.
The derivation of nonlinear integrable evolution partial differential equations in higher dimensions has always been the holy grail in the field of integrability. The well-known modified KdV equation is a prototypical example of integrable evolution
Externí odkaz:
http://arxiv.org/abs/2302.05880
Utilizing some conservation laws of (1+1)-dimensional integrable local evolution systems, it is conjectured that higher dimensional integrable equations may be regularly constructed by a deformation algorithm. The algorithm can be applied to Lax pair
Externí odkaz:
http://arxiv.org/abs/2211.06844
Autor:
Hao, Xiazhi, Lou, S. Y.
In this paper, we define the modified formal variable separation approach and show how it determines, in a remarkably simple manner, the decomposition solutions, the B\"acklund transformations, the Lax pair, and the linear superposition solution of t
Externí odkaz:
http://arxiv.org/abs/2210.00542
Autor:
Hao, Xiazhi, Lou, S. Y.
The existence of decompositions of the nonlinear integrable systems not only permits us to establish so-called linear superposition solutions but also to derive new nonlinear integrable coupled systems. Restricting our attention to the single compone
Externí odkaz:
http://arxiv.org/abs/2205.08186
Autor:
Lou, S. Y., Hao, Xiazhi
Evidently, the linear superposition principle can not be exactly established as a general principle in the presence of nonlinearity, and, at the first glance, there is no expectation for it to hold even approximately. In this letter, it is shown that
Externí odkaz:
http://arxiv.org/abs/2203.11584
Autor:
Jia, Man, Lou, S. Y.
Publikováno v:
Applied Mathematics Letters, 130 (2022) 108018
In additional to the parity ($\mathcal{P}$) symmetric, time reversal ($\mathcal{T}$) symmetric, and $\mathcal{PT}$ symmetric nonlocal integrable systems, some other types of nonlocal integrable Klein-Gordon models with the space-time exchange nonloca
Externí odkaz:
http://arxiv.org/abs/2202.08990