Some Weak Selfadjoint Forced KdV Equations
Abstract
The Kortewegde Vries equation with a forcing term is established by recent studies as a simple mathematical model of describing the physics of a shallow layer of fluid subject to external forcing. It serves as an analytical model of tsunami generation by submarine landslides. One of the present authors has generalized the concept of quasi selfadjoint equations by introducing the definition of weak selfadjoint equations. In this paper we find a class of weak selfadjoint forced Kortewegde Vries equations. By using a general theorem on conservation laws proved in [10] and the property of weak selfadjointness [4], we find conservation laws for a forced Kortewegde Vries equation.
 Publication:

Numerical Analysis and Applied Mathematics ICNAAM 2011: International Conference on Numerical Analysis and Applied Mathematics
 Pub Date:
 September 2011
 DOI:
 10.1063/1.3637878
 Bibcode:
 2011AIPC.1389.1378G
 Keywords:

 hydrology;
 tsunami;
 conservation laws;
 integral equations;
 92.40.Ha;
 91.30.Nw;
 47.10.ab;
 02.30.Rz;
 Debris flow and landslides;
 Tsunamis;
 Conservation laws and constitutive relations;
 Integral equations