Abstract
We study the invariance properties and exact solutions of the Kadomtsev-Petviashvili equation and construct its conservation laws and that of its transformed elliptic and elliptic-cylindrical versions. Then, it is shown how the conservation laws and related quantities of the transformed versions may be attained by applying the transformation variables as opposed to independent calculations which are often cumbersome for high order partial differential equations of 'many' variables.
| Original language | English |
|---|---|
| Pages (from-to) | 631-635 |
| Number of pages | 5 |
| Journal | Applied Mathematics and Information Sciences |
| Volume | 9 |
| Issue number | 2 |
| DOIs | |
| State | Published - 2015 |
Bibliographical note
Publisher Copyright:© 2015 NSP.
Keywords
- Conservation laws
- Cylindrical and elliptic cylindrical Kadomtsev-Petviashvili equation
- Lie symmetries
- Reduction
ASJC Scopus subject areas
- Analysis
- Numerical Analysis
- Computer Science Applications
- Computational Theory and Mathematics
- Applied Mathematics