Two-dimensional KdV-Burgers for shallow-water waves
Abstract
Multidimensional nonlinear waves in shallow water in the presence of viscosity are investigated. By using a modified perturbation-reduction method, a model equation is derived which reduces to the generalized-Burgers, KdV, or KdV-Burgers equations as particular cases. Finally, by supposing 'quasi-plane' wave fronts and a small viscosity term, the perturbed solitons for the KdV-Burgers-type equation are considered.
- Publication:
-
Nuovo Cimento B Serie
- Pub Date:
- June 1984
- DOI:
- 10.1007/BF02721614
- Bibcode:
- 1984NCimB..81..260B
- Keywords:
-
- Burger Equation;
- Korteweg-Devries Equation;
- Shallow Water;
- Two Dimensional Flow;
- Viscous Flow;
- Water Waves;
- Nonlinear Evolution Equations;
- Perturbation Theory;
- Solitary Waves;
- Unsteady Flow;
- Fluid Mechanics and Heat Transfer