Some exact solutions to the sine-Gordon equations
Journal Article
·
· International Journal of Theoretical Physics
- Dalhousie Univ., Nova Scotia (Canada)
We present some new exact (solitary and traveling) solutions to the sine-Gordon equations c{sup 2}u{sub xx} - u{sub tt} = {alpha} sin u and cu{sub xt} + u{sub tt} = {alpha} sin u, and the dissipative sine-Gordon equation c{sup 2}U{sub xx} = u{sub tt} - {gamma}u, = {alpha}{sub 1} sin u + {alpha}{sub 2} sin(2u). Here, {alpha}, {alpha}{sub 1}, and {alpha}{sub 2} are the coupling constants, real numbers; c is the intrinsic speed of the propagating wave determined by the system; and {gamma} is the damping factor. The physical implication is briefly discussed.
- Sponsoring Organization:
- USDOE
- OSTI ID:
- 471790
- Journal Information:
- International Journal of Theoretical Physics, Journal Name: International Journal of Theoretical Physics Journal Issue: 4 Vol. 34; ISSN 0020-7748; ISSN IJTPBM
- Country of Publication:
- United States
- Language:
- English
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