Abstract
This paper obtains the conservation laws of the Klein-Gordon equation with power law and log law nonlinearities. The multiplier approach with Lie symmetry analysis is employed to obtain the conserved densities. The 1-soliton solutions are subsequently used to compute the conserved quantities from the conserved densities. Later the perturbation terms are added and the conservation laws of the perturbed Klein-Gordon equation are studied.
| Original language | English |
|---|---|
| Pages (from-to) | 2191-2196 |
| Number of pages | 6 |
| Journal | Nonlinear Dynamics |
| Volume | 73 |
| Issue number | 4 |
| DOIs | |
| State | Published - Sep 2013 |
Keywords
- Conservation laws
- Integrability
- Lie symmetry
ASJC Scopus subject areas
- Control and Systems Engineering
- Aerospace Engineering
- Ocean Engineering
- Mechanical Engineering
- Electrical and Electronic Engineering
- Applied Mathematics