What happens to linear properties as we move from the Klein-Gordon equation to the sine-Gordon equation
Journal Article
·
· AIP Conference Proceedings
- Department of Mathematics, University of Alberta, Edmonton, Alberta, T6G 2G1 (Canada)
In this article the sets of solutions of the sine-Gordon equation and its linearization the Klein-Gordon equation are discussed and compared. It is shown that the set of solutions of the sine-Gordon equation possesses a richer structure which partly disappears during linearization. Just like the solutions of the Klein-Gordon equation satisfy the linear superposition principle, the solutions of the sine-Gordon equation satisfy a nonlinear superposition principle.
- OSTI ID:
- 21366979
- Journal Information:
- AIP Conference Proceedings, Journal Name: AIP Conference Proceedings Journal Issue: 1 Vol. 1246; ISSN APCPCS; ISSN 0094-243X
- Country of Publication:
- United States
- Language:
- English
Similar Records
Exact solutions of nonlinear generalizations of the Klein Gordon and Schrodinger equations
The sine-Gordon equations: Complete and partial integrability
Causal interpretation of the modified Klein-Gordon equation
Journal Article
·
Tue Oct 31 23:00:00 EST 1978
· J. Math. Anal. Appl.; (United States)
·
OSTI ID:6090275
The sine-Gordon equations: Complete and partial integrability
Journal Article
·
Sun Jul 01 00:00:00 EDT 1984
· J. Math. Phys. (N.Y.); (United States)
·
OSTI ID:6741385
Causal interpretation of the modified Klein-Gordon equation
Journal Article
·
Sun Oct 01 00:00:00 EDT 1995
· Foundations of Physics
·
OSTI ID:181795