Lie-symmetry vector fields for linear and nonlinear wave equations
โ Scribed by N. Euler; W. -H. Steeb
- Publisher
- Springer
- Year
- 1989
- Tongue
- English
- Weight
- 231 KB
- Volume
- 28
- Category
- Article
- ISSN
- 0020-7748
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
The derivation of conservation laws for a nonlinear wave equation modelling the migration of melt through the Earth's mantle is considered. New conserved vectors which depend explicitly on the spatial coordinate are generated using the Lie point symmetry generators of the equation and known conserve
In this paper, we adopt the homotopy analysis method (HAM) to obtain solutions of linear and nonlinear fractional diffusion and wave equation. The fractional derivative is described in the Caputo sense. Some illustrative examples are presented.
We present new decay estimates of solutions for the mixed problem of the equation vtt -vxx + vt = 0, which has the weighted initial data [v . Similar decay estimates are also derived to the Cauchy problem in R N for utt -u+ut = 0 with the weighted initial data. Finally, these decay estimates can be