A singular limit problem for conservation laws related to the Kawahara-Korteweg-de Vries equation
نویسندگان
چکیده
منابع مشابه
A Singular Limit Problem for Conservation Laws Related to the Camassa-holm Shallow Water Equation
We consider a shallow water equation of Camassa-Holm type, containing nonlinear dispersive effects as well as fourth order dissipative effects. We prove that as the diffusion and dispersion parameters tend to zero, with a condition on the relative balance between these two parameters, smooth solutions of the shallow water equation converge to discontinuous solutions of a scalar conservation law...
متن کاملNumerical method satisfying the first two conservation laws for the Korteweg-de Vries equation
In this paper, we develop a finite-volume scheme for the KdV equation which conserves both the momentum and energy. The main ingredient of the method is a numerical device we developed in recent years that enables us to construct numerical method for a PDE that also simulates its related equations. In the method, numerical approximations to both the momentum and energy are conservatively comput...
متن کاملSpectral stability of periodic wave trains of the Korteweg-de Vries/Kuramoto-Sivashinsky equation in the Korteweg-de Vries limit
We study the spectral stability of a family of periodic wave trains of the Korteweg-de Vries/Kuramoto-Sivashinsky equation ∂tv + v∂xv + ∂ 3 x v + δ ( ∂ x v + ∂ x v ) = 0, δ > 0, in the Korteweg-de Vries limit δ → 0, a canonical limit describing small-amplitude weakly unstable thin film flow. More precisely, we carry out a rigorous singular perturbation analysis reducing the problem of spectral ...
متن کاملA Novel Approach for Korteweg-de Vries Equation of Fractional Order
In this study, the localfractional variational iterationmethod (LFVIM) and the localfractional series expansion method (LFSEM) are utilized to obtain approximate solutions for Korteweg-de Vries equation (KdVE) within local fractionalderivative operators (LFDOs). The efficiency of the considered methods is illustrated by some examples. The results reveal that the suggested algorithms are very ef...
متن کاملThe tanh method for solutions of the nonlinear modied Korteweg de Vries equation
In this paper, we have studied on the solutions of modied KdV equation andalso on the stability of them. We use the tanh method for this investigationand given solutions are good-behavior. The solution is shock wave and can beused in the physical investigations
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: Networks and Heterogeneous Media
سال: 2016
ISSN: 1556-1801
DOI: 10.3934/nhm.2016.11.281