Zobrazeno 1 - 10
of 80
pro vyhledávání: '"Weiguo Rui"'
Publikováno v:
Fractal and Fractional, Vol 7, Iss 12, p 876 (2023)
This paper studies the asymptotic stability of fractional-order neural networks (FONNs) with time delay utilizing a sampled-data controller. Firstly, a novel class of Lyapunov–Krasovskii functions (LKFs) is established, in which time delay and frac
Externí odkaz:
https://doaj.org/article/9c7a63a112b2410ca5a1f50e17c18f50
Autor:
Weiguo Rui
Publikováno v:
Partial Differential Equations in Applied Mathematics, Vol 5, Iss , Pp 100396- (2022)
It is well known that many nonlinear integer-order partial differential equations (PDEs) have soliton solutions, this is an indisputable fact in the field of soliton theory. But do the corresponding nonlinear fractional-order PDEs also have soliton s
Externí odkaz:
https://doaj.org/article/6a6b359006d243d794fe3bbe7fe5b16f
Publikováno v:
Abstract and Applied Analysis, Vol 2014 (2014)
Externí odkaz:
https://doaj.org/article/542bd62952544280b49cd85d5ac4308a
Autor:
Weiguo Rui
Publikováno v:
Abstract and Applied Analysis, Vol 2014 (2014)
By using the integral bifurcation method together with factoring technique, we study a water wave model, a high-order nonlinear wave equation of KdV type under some newly solvable conditions. Based on our previous research works, some exact traveling
Externí odkaz:
https://doaj.org/article/1ce76dfb21db412d9f215b98b3e9dfc5
Publikováno v:
Abstract and Applied Analysis, Vol 2013 (2013)
We study a generalized KdV equation of neglecting the highest order infinitesimal term, which is an important water wave model. Some exact traveling wave solutions such as singular solitary wave solutions, semiloop soliton solutions, dark soliton sol
Externí odkaz:
https://doaj.org/article/3e0708a7c7a94c5e95dfcc9ad43df0b4
Autor:
Weiguo Rui
Publikováno v:
Journal of Applied Mathematics, Vol 2013 (2013)
By using the integral bifurcation method, a generalized Tzitzéica-Dodd-Bullough-Mikhailov (TDBM) equation is studied. Under different parameters, we investigated different kinds of exact traveling wave solutions of this generalized TDBM equation. Ma
Externí odkaz:
https://doaj.org/article/a26de2c5a035409fbad13a6f6b69085f
Autor:
Weiguo Rui, Yao Long
Publikováno v:
Journal of Applied Mathematics, Vol 2012 (2012)
An integrable 2-component Camassa-Holm (2-CH) shallow water system is studied by using integral bifurcation method together with a translation-dilation transformation. Many traveling wave solutions of nonsingular type and singular type, such as solit
Externí odkaz:
https://doaj.org/article/5a0aba7d58c5423d95afb2255e9a08ae
Publikováno v:
Journal of Applied Mathematics, Vol 2012 (2012)
By using the integral bifurcation method, we study the nonlinear K(m,n) equation for all possible values of m and n. Some new exact traveling wave solutions of explicit type, implicit type, and parametric type are obtained. These exact solutions incl
Externí odkaz:
https://doaj.org/article/f8cdd5991f0945808819edf2db86775a
Publikováno v:
Discrete Dynamics in Nature and Society, Vol 2012 (2012)
We find an interesting phenomenon that the discrete system appearing in a reference can be reduced to the old integrable system given by Merola, Ragnisco, and Tu in another reference. Differing from the works appearing in the above two references, a
Externí odkaz:
https://doaj.org/article/4fca39ac1e644df3a580e5de48703ac0
Autor:
Weiguo Rui, Xinsong Yang
Publikováno v:
Discrete Dynamics in Nature and Society, Vol 2011 (2011)
The mixed function method is extended from the (1+1)-dimensional space to the (2+1)-dimensional one, even those forms of exact solution do not exist in (1+1)-dimensional NDDEs. By using this extended method, the Toda lattice and (2+1)-dimensional Tod
Externí odkaz:
https://doaj.org/article/f01fd92ebc0d4297935a88525316e072