190 citations · 279 across the 11 of their papers we have counts for
11 papers
Permutation--invariant Niven numbers
Hui-Ling Wu, S. Y. Lou
This paper introduces permutation-invariant Niven numbers--a novel class of Niven numbers where all digit permutations (with leading zeros automatically ignored) must retain the Ni…
Progresses on some open problems related to infinitely many symmetries
S. Y. Lou
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 chall…
Ren-integrable and ren-symmetric integrable systems
S. Y. Lou
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 wi…
Higher dimensional integrable deformations of the modified KdV equation
Xiazhi Hao, S. Y. Lou
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 mo…
Multi-component decompositions, linear superpositions, and new nonlinear integrable coupled KdV-type systems
Xiazhi Hao, S. Y. Lou
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 integ…
Special decompositions and linear superpositions of nonlinear systems: BKP and dispersionless BKP equations
Xiazhi Hao, S. Y. Lou
The existence of decomposition solutions of the well-known nonlinear BKP hierarchy is explored. It is shown that these decompositions provide simple and interesting relationships b…
A novel (2+1)-dimensional integrable KdV equation with peculiar solution structures
S. Y. Lou
The celebrated (1+1)-dimensional Korteweg de-Vries (KdV) equation and its (2+1)-dimensional extention, the Kadomtsev-Petviashvili (KP) equation, are two of the most important model…
Soliton molecules and asymmetric solitons in fluid systems via velocity resonance
S. Y. Lou
Soliton molecules may be formed in some possible mechanisms in both theoretical and experimental aspects. In this letter, we introduce a new possible mechanism, the velocity resona…
Exact parity and time reversal symmetry invariant and symmetry breaking solutions for a nonlocal KP system
Wenbiao Wu, S. Y. Lou
A nonlocal Alice-Bob Kadomtsev-Petviashivili (ABKP) system with shifted-parities ( and parities with shifts for the space variables and ) and dela…
Nanopteron solution of the Korteweg-de Vries equation
Jian-Yong Wang, Xiao-Yan Tang, S. Y. Lou +2
The nanopteron, which is a permanent but weakly nonlocal soliton, has been an interesting topic in numerical study for many decades. However, analytical solution of such a special…
model and Higgs mass in standard model calculated by Gaussian effective potential approach with a new regularization-renormalization method
G. -j. Ni, S. -y Lou, W. -f Lu +1
Basing on new regularization-renormalization method, the model used in standard model is studied both perturbatively and nonperturbatively (by Gaussian effective potential).…