Asymptotic Expansion of the Solutions to Time-Space Fractional Kuramoto-Sivashinsky Equations

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Exact Solutions of the Generalized Kuramoto-Sivashinsky Equation

In this paper we obtain  exact solutions of the generalized Kuramoto-Sivashinsky equation, which describes manyphysical processes in motion of turbulence and other unstable process systems.    The methods used  to determine the exact solutions of the underlying equation are the Lie group analysis  and the simplest equation method. The solutions obtained are  then plotted.

متن کامل

Trivial Stationary Solutions to the Kuramoto-sivashinsky and Certain Nonlinear Elliptic Equations

subject to appropriate initial and boundary conditions has been introduced in [15],[16] and in [23],[24] in studying phase turbulence and the flame front propagation in combustion theory. In the absence of any a priori estimates for the solutions of the scalar equation (1), most authors find it more convenient, for the mathematical study, to consider the differential form of the equation for u ...

متن کامل

Asymptotic estimates and stability analysis of Kuramoto-Sivashinsky type models

We first show asymptotic L bounds for a class of equations, which includes the Burger-Sivashinsly model for odd solutions with periodic boundary conditions. We consider the conditional stability of stationary solutions of Kuramoto-Sivashinsky equation in the periodic setting. We establish rigorously the general structure of the spectrum of the linearized operator. In addition, we show condition...

متن کامل

exact solutions of the generalized kuramoto-sivashinsky equation

in this paper we obtain  exact solutions of the generalized kuramoto-sivashinsky equation, which describes manyphysical processes in motion of turbulence and other unstable process systems.    the methods used  to determine the exact solutions of the underlying equation are the lie group analysis  and the simplest equation method. the solutions obtained are  then plotted.

متن کامل

Meromorphic traveling wave solutions of the Kuramoto–Sivashinsky equation

We determine all cases when there exists a meromorphic solution of the ODE νw + bw + μw + w/2 +A = 0. This equation describes traveling waves solutions of the KuramotoSivashinsky equation. It turns out that there are no other meromorphic solutions besides those explicit solutions found by Kuramoto and Kudryashov. The general method used in this paper, based on Nevanlinna theory, is applicable t...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Advances in Mathematical Physics

سال: 2016

ISSN: 1687-9120,1687-9139

DOI: 10.1155/2016/4632163