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20082026
most citedDynamics and modulation of ring dark soliton in 2D Bose-Einstein condensates with tunable interaction

54 citations

Showing 2020Show all

5 papers · 1 filter

math.AP2020★ 14 cited

Global dynamics of small solutions to the modified fractional Korteweg-de Vries and nonlinear Schrödinger equations

Jean-Claude Saut, Yuexun Wang

This paper concerns the modified fractional Korteweg-de Vries (modified fKdV) and nonlinear Schrödinger (modified fNLS) equations, with the dispersions |D|^α\partial_x and |D|^{α+1…

math.AP2020★ 9 cited

Enhanced existence time of solutions to evolution equations of Whitham type

Mats Ehrnström, Yuexun Wang

We show that Whitham type equations u_t + u u_x -L u_x = 0, where L is a general Fourier multiplier operator of order α\in [-1,1], α\neq 0, allow for small solutions to be extended…

math.AP2020★ 35 cited

Spatial Propagation in an Epidemic Model with Nonlocal Diffusion: the Influences of Initial Data and Dispersals

Wen-Bing Xu, Wan-Tong Li, Shigui Ruan

This paper studies an epidemic model with nonlocal dispersals. We focus on the influences of initial data and nonlocal dispersals on its spatial propagation. Here the initial data…

math.QA2020★ 15 cited

-Differential operators and -differential modules for the Virasoro algebra

Xuewen Liu, Li Guo, Xiangqian Guo

The concept of -differential operators is a natural generalization of differential operators and difference operators. In this paper, we determine the -differential Lie algeb…

math.RA2020★ 5 cited

Free Rota-Baxter family algebras and Free (tri)dendriform family algebras

Yuanyuan Zhang, Xing Gao, Dominique Manchon

In this paper, we first construct the free Rota-Baxter family algebra generated by some set in terms of typed angularly -decorated planar rooted trees. As an application, we…