Zobrazeno 1 - 10
of 407
pro vyhledávání: '"Lou Sen-Yue"'
The dynamics of vortices in Bose-Einstein condensates of dilute cold atoms can be well formulated by Gross-Pitaevskii equation. To better understand the properties of vortices, a systematic method to solve the nonlinear differential equation for the
Externí odkaz:
http://arxiv.org/abs/2207.13360
Publikováno v:
In Wave Motion December 2024 131
Autor:
Lou, Sen-Yue
Publikováno v:
Chinese Physics Letters 34 (2017) 060201
Chinese ancient sage Laozi said everything comes from \emph{\bf \em "nothing"}. \rm In the first letter (Chin. Phys. Lett. 30 (2013) 080202), infinitely many discrete integrable systems have been obtained from "nothing" via simple principles (Dao). I
Externí odkaz:
http://arxiv.org/abs/1702.04758
Autor:
Lou, Sen-Yue
A set of infinitely many nonlocal conservation laws are revealed for (1+1)-dimensional evolution equations. For some special known integrable systems, say, the KdV and Dym equations, it is found that different nonlocal conservation laws can lead to s
Externí odkaz:
http://arxiv.org/abs/1402.7231
Autor:
Lou, Sen-Yue, Yao, Ruo-Xia
Publikováno v:
Journal of Nonlinear Mathematical Physics, Vol. 24, No.3 (2017)379-392
A primary branch solution (PBS) is defined as a solution with $n$ independent $m-1$ dimensional arbitrary functions for an $n$ order $m$ dimensional partial differential equation (PDE). PBSs of arbitrary first order scalar PDEs can be determined by u
Externí odkaz:
http://arxiv.org/abs/1402.6938
We theoretically propose a new optical field state which is named Laguerre-polynomial-weighted chaotic field. We show that such state can be implemented, i.e., when a number state enters into a diffusion channel, the output state is just this kind of
Externí odkaz:
http://arxiv.org/abs/1311.1275
For a dissipative channel governed by the master equation of density operator}$d\rho /dt=\kappa \left(2a\rho a^{\dagger}-a^{\dagger}a\rho -\rho a^{\dagger}a\right) ,${\small \ we find that photocount distribution formula at time}$t,${\small \}$p\left
Externí odkaz:
http://arxiv.org/abs/1303.4802
In nonlinear physics, the interactions among solitons are well studied thanks to the multiple soliton solutions can be obtained by various effective methods. However, it is very difficult to study interactions among different types of nonlinear waves
Externí odkaz:
http://arxiv.org/abs/1208.3259
Publikováno v:
Stud. Appl. Math. 122 (2009) 305
In this paper, nonlocal symmetries for the bilinear KP and bilinear BKP equations are re-studied. Two arbitrary parameters are introduced in these nonlocal symmetries by considering gauge invariance of the bilinear KP and bilinear BKP equations under
Externí odkaz:
http://arxiv.org/abs/0812.0961
Autor:
Chen, Chun-li, Lou, Sen-yue
The possible solitary wave solutions for a general Boussinesq (GBQ) type fluid model are studied analytically. After proving the non-Painlev\'e integrability of the model, the first type of exact explicit travelling solitary wave with a special veloc
Externí odkaz:
http://arxiv.org/abs/nlin/0211031