Zobrazeno 1 - 10
of 162
pro vyhledávání: '"Ji, Shuguan"'
The ``Fundamental Theorem" given by Arnold in [2] asserts the persistence of full dimensional invariant tori for 2-scale Hamiltonian systems. However, persistence in multi-scale systems is much more complicated and difficult. In this paper, we explor
Externí odkaz:
http://arxiv.org/abs/2309.03463
Autor:
Meng, Xin, Ji, Shuguan
This paper concerns the existence of positive ground state solutions for generalized quasilinear Schr\"odinger equations in $\mathbb{R}^N$ with critical growth which arise from plasma physics, as well as high-power ultrashort laser in matter. By appl
Externí odkaz:
http://arxiv.org/abs/2303.10830
Autor:
Meng, Xin, Ji, Shuguan
This paper is concerned with breather solutions of a radially symmetric curl-curl wave equation with double power nonlinearity. By considering the solutions with a special form, we obtain a family of ordinary differential equations (ODEs) parameteriz
Externí odkaz:
http://arxiv.org/abs/2303.10614
Autor:
Zhou, Yonghui, Ji, Shuguan
In this paper, we study the global conservative weak solutions for a class of nonlinear dispersive wave equations after wave breaking. We first transform the equations into an equivalent semi-linear system by introducing new variables. We then establ
Externí odkaz:
http://arxiv.org/abs/2303.08640
Autor:
Cui, Pengxue, Ji, Shuguan
In this paper, we consider the long time behavior for the solution of a class of variable coefficient wave equation with nonlinear damping and logarithmic source. The existence and uniqueness of local weak solution can be obtained by using the Galerk
Externí odkaz:
http://arxiv.org/abs/2303.08629
This paper is concerned with the inverse scattering problem involving the time-domain elastic wave equations in a bounded $d$-dimensional domain. First, an explicit reconstruction formula for the density is established by means of the Dirichlet-to-Ne
Externí odkaz:
http://arxiv.org/abs/2301.07847
In this paper, we study the Melnikov's persistence for completely degenerate Hamiltonian systems with the following Hamiltonian \begin{equation*} H(x,y,u,v)=h(y)+g(u,v)+\varepsilon P(x,y,u,v),~~~(x,y,u,v)\in \mathbb{T}^n\times{G}\times \mathbb{R}^d\t
Externí odkaz:
http://arxiv.org/abs/2301.00206
Autor:
Deng Jiayu, Ji Shuguan
Publikováno v:
Advanced Nonlinear Studies, Vol 24, Iss 4, Pp 922-940 (2024)
This paper is concerned with the periodic solutions for a coupled system of wave equations with x-dependent coefficients. Such a model arises naturally when two waves propagate simultaneously in the nonisotrpic media. In this paper, for the periods h
Externí odkaz:
https://doaj.org/article/47ef812a3dfc419fb463a8fc1b94526a
Autor:
Wei, Hui, Ji, Shuguan
We consider the periodic solutions of a semilinear variable coefficient wave equation arising from the forced vibrations of a nonhomogeneous string and the propagation of seismic waves in nonisotropic media. The variable coefficient characterizes the
Externí odkaz:
http://arxiv.org/abs/2108.09482
Autor:
Meng, Xin, Ji, Shuguan
Publikováno v:
In Communications in Nonlinear Science and Numerical Simulation June 2024 133