In the present work, utilizing the two-dimensional equations of an incompressible inviscid fluid and the reductive perturbation method, we studied the propagation of weakly nonlinear waves in water of variable depth. For the case of slowly varying depth, the evolution equation is obtained as a varia
Allowed transformations and symmetry classes of variable coefficient Korteweg-de Vries equations
β Scribed by Pavel Winternitz; J.P. Gazeau
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 265 KB
- Volume
- 167
- Category
- Article
- ISSN
- 0375-9601
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π SIMILAR VOLUMES
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
In this paper, the prolongation structures of a generalized coupled Korteweg-de Vries (KdV) equation are investigated and two integrable coupled KdV equations associated with their Lax pairs are derived. Furthermore, a Miura transformation related to a integrable coupled KdV equation is derived, fro