Steady solutions of the Kuramoto-Sivashinsky equation for small wave speed
نویسندگان
چکیده
منابع مشابه
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 کاملExact 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 کاملSteady states of the conserved Kuramoto-Sivashinsky equation
Recent work on the dynamics of a crystal surface [T. Frisch and A. Verga, Phys. Rev. Lett. 96, 166104 (2006)] has focused the attention on the conserved KuramotoSivashinsky (CKS) equation: ∂tu = −∂xx(u+ uxx + ux), which displays coarsening. For a quantitative and qualitative understanding of the dynamics, the analysis of steady states is particularly relevant. In this paper we provide a detaile...
متن کاملMultiplicity and structures for traveling wave solutions of the Kuramoto-Sivashinsky equation
The Kuramoto-Sivashinsky (KS) equation is known as a popular prototype to represent a system in which the transport of energy through nonlinear mode coupling produces a balance between long wavelength instability and short wavelength dissipation. Existing numerical results indicate that the KS equation admits three classes (namely, regular shock, oscillatory shock, and solitary wave) of nonperi...
متن کاملexact 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 کاملذخیره 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: Journal of Differential Equations
سال: 1992
ISSN: 0022-0396
DOI: 10.1016/0022-0396(92)90143-b