We consider the initial value problem of the variable coefficient and nonisospectral Korteweg-de Vries equation with variable boundary condition and smooth initial data decaying rapidly to zero as \(|x| \rightarrow \infty\). Using the method of inverse scattering we study the asymptotic behavior of
Integrability study and numerical analysis of a Korteweg-de Vries equation with variable coefficients
โ Scribed by K.V. Pramod; N. Nirmala; M.J. Vedan; S. Yu. Sakovich
- Publisher
- Elsevier Science
- Year
- 1989
- Tongue
- English
- Weight
- 526 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0020-7462
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๐ SIMILAR VOLUMES
The mixed (Dirichlet-Neumann) boundary-value problem for the 'Laplace' linear di erential equation with variable coe cient is reduced to boundary-domain integro-di erential or integral equations (BDIDEs or BDIEs) based on a specially constructed parametrix. The BDIDEs=BDIEs contain integral operator
## Abstract This article presents a complex variable boundary element method for the numerical solution of a second order elliptic partial differential equation with variable coefficients. To assess the validity and accuracy of the method, it is applied to solve some specific problems with known so