On the Cauchy Problem for the Korteweg–de Vries Equation with Steplike Finite-Gap Initial Data II. Perturbations with Finite Moments
نویسندگان
چکیده
We solve the Cauchy problem for the Korteweg–de Vries equation with steplike finite-gap initial conditions under the assumption that the perturbations have a given number of derivatives and moments finite.
منابع مشابه
On the Cauchy Problem for the Modified Korteweg–de Vries Equation with Steplike Finite-Gap Initial Data
We solve the Cauchy problem for the modified Korteweg–de Vries equation with steplike quasi-periodic, finite-gap initial conditions under the assumption that the perturbations have a given number of derivatives and moments finite.
متن کاملOn the Cauchy Problem for the Korteweg–de Vries Equation with Steplike Finite-gap Initial Data I. Schwarz-type Perturbations
We solve the Cauchy problem for the Korteweg–de Vries equation with initial conditions which are steplike Schwartz-type perturbations of finitegap potentials under the assumption that the mutual spectral bands either coincide or are disjoint.
متن کاملOn the Cauchy Problem for the Korteweg–de Vries Equation with Steplike Finite-gap Initial Data I. Schwartz-type Perturbations
We solve the Cauchy problem for the Korteweg–de Vries equation with initial conditions which are steplike Schwartz-type perturbations of finitegap potentials under the assumption that the respective spectral bands either coincide or are disjoint.
متن کاملForced oscillations of a damped Korteweg-de Vries equation on a periodic domain
In this paper, we investigate a damped Korteweg-de Vries equation with forcing on a periodic domain $mathbb{T}=mathbb{R}/(2pimathbb{Z})$. We can obtain that if the forcing is periodic with small amplitude, then the solution becomes eventually time-periodic.
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 کامل