Zobrazeno 1 - 10
of 113
pro vyhledávání: '"Lou, Senyue"'
A new transformation $u=4 ({\rm ln}f)_x$ that can formulate a quintic linear equation and a pair of Hirota's bilinear equations for the (2+1)-dimensional Sawada-Kotera (2DSK) equation is reported firstly, which enables one to obtain a new hierarchy o
Externí odkaz:
http://arxiv.org/abs/2001.02944
Autor:
Yan, Zhaowen, Lou, Senyue
Soliton molecules have been experimentally discovered in optics and theoretically investigated for coupled systems. This paper is concerned with the formation of soliton molecules by the resonant mechanism for a noncoupled system, the Sharma-Tasso-Ol
Externí odkaz:
http://arxiv.org/abs/1912.13324
Publikováno v:
In Applied Mathematics Letters November 2023 145
Autor:
Jia, Man, Lou, Senyue
Due to the widely applications in almost all branches of science, high dimensional KP equation is selected as universal model to describe rogue wave phenomenon. A lump is an algebraically localized wave decayed in all space directions and exists in a
Externí odkaz:
http://arxiv.org/abs/1803.01730
Publikováno v:
In Applied Mathematics Letters February 2022 124
In the paper possible local and nonlocal reductions of the Ablowitz-Kaup-Newell-Suger (AKNS) hierarchy are collected, including the Korteweg-de Vries (KdV) hierarchy, modified KdV hierarchy and their nonlocal versions, nonlinear Schr\"{o}dinger hiera
Externí odkaz:
http://arxiv.org/abs/1710.10479
A bilinearisation-reduction approach is described for finding solutions for nonlocal integrable systems and is illustrated with nonlocal discrete nonlinear Schr\"odinger equations. In this approach we first bilinearise the coupled system before reduc
Externí odkaz:
http://arxiv.org/abs/1707.07253
Autor:
Lou, Senyue, Qiao, Zhijun
In this letter, we study the Alice-Bob peakon system generated from an integrable peakon system through using the strategy of the so-called Alice-Bob non-local KdV approach [13]. Non-local integrable peakon equations are obtained and shown to have pe
Externí odkaz:
http://arxiv.org/abs/1705.07395
Akademický článek
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Publikováno v:
In Communications in Nonlinear Science and Numerical Simulation September 2021 100