Zobrazeno 1 - 10
of 19
pro vyhledávání: '"Xiu-Jin Miao"'
Autor:
Xiu-jin Miao, Zhiqing Zhang
Publikováno v:
Communications in Nonlinear Science and Numerical Simulation. 16:4259-4267
In this paper, we construct the traveling wave solutions to the perturbed nonlinear Schrodinger’s equation (NLSE) with Kerr law nonlinearity by using the modified G ′ G -expansion method. The traveling wave solutions are expressed by the hyperbol
Publikováno v:
Communications in Nonlinear Science and Numerical Simulation. 16:3097-3106
In this paper, the modified trigonometric function series method is employed to solve the perturbed nonlinear Schrodinger’s equation (NLSE) with Kerr law nonlinearity. Exact traveling wave solutions are obtained.
On Solvability and Stabilization of a Class of Hyperbolic Hemivariational Inequalities in Elasticity
Publikováno v:
Funkcialaj Ekvacioj. 54:297-314
In this paper we study the existence and stabilization of global weak solutions for a class of second order hyperbolic hemivariational inequalities in elasticity with a discontinuous and nonlinear multi-valued term.
Publikováno v:
Nonlinear Analysis: Theory, Methods & Applications. 73:1878-1889
In this paper, we investigate the stabilization of heat flow with boundary time-varying delay effect. Under some assumptions, we prove exponential stability of the solution applying variable norm technique and modified Lyapunov functional approach.
A note on decay properties for the solutions of a class of partial differential equation with memory
Publikováno v:
Journal of Applied Mathematics and Computing. 37:85-102
The purpose of this article is to study decay properties for solutions of a class of PDEs with memory by Lyapunov functionals method. Moreover, we prove that when the kernels of the convolutions decay exponentially, the first and second order energy
Publikováno v:
Applied Mathematics and Computation. 216:3064-3072
In this paper, by using the modified mapping method and the extended mapping method, we derive some new exact solutions of the perturbed nonlinear Schrodinger’s equation with Kerr law nonlinearity, which are the linear combination of two different
Autor:
Xiu-jin Miao, Zai-yun Zhang
Publikováno v:
Computers & Mathematics with Applications. 59:1003-1018
In this paper,we prove the existence, uniqueness and uniform stability of strong and weak solutions of the nonlinear wave equation u"t"[email protected]+b(x)u"t+f(u)=0 in bounded domains with nonlinear damped boundary conditions, given by @[email pro
Publikováno v:
Acta Applicandae Mathematicae. 110:271-282
In this paper,we estimate the dimension of the global attractor for nonlinear dissipative Kirchhoff equation in Hilbert spaces H01×L2(Ω) and D(A)×H01(Ω). Using rescaling technology and linear variation method, we obtain the upper bound for its Ha
Publikováno v:
Acta Applicandae Mathematicae; Apr2010, Vol. 110 Issue 1, p271-282, 12p, 1 Graph
Publikováno v:
Journal of Mathematical Physics. 52:023502
In this paper, we prove the existence, uniqueness, and uniform stability of strong and weak solutions of the nonlinear generalized Klein-Gordon equation (1.1)_1 (see Sec. I) in bounded domains with nonlinear damped boundary conditions given by (1.1)_