Published October 1981
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On the number of conservation laws in the Sine-Gordon equation
Description
For a certain class of solutions of the sine-Gordon equation it is shown that an (infinite) set of conservation laws, obtained from one constant of motion by an infinitesimal Backlund transformation, does not lead to any new conserved quantities by further use of the Backlund transformation. To the considered class of solutions belong the 2π-kink and tne N - soliton solutions obtained from it. (Author)
Availability note (English)
MF available from INIS under the Report Number.Abstract (Portuguese)
Mostra-se que, para uma classe particular de solucoes da equacao seno-Gordon, um conjunto de leis de conservacao obtido de uma constante de movimento, por uma transformacao Backlund infinitesimal , nao produz outras leis de conservacao, caso esta transformacao seja novamente aplicada. A esta classe de solucoes pertencem as solucoes tipo 2π-kink' e tipo 'N-soliton', obtidas atraves de um '2π-kink'. (Autor)Files
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Additional details
Publishing Information
- Imprint Pagination
- 10 p.
- Report number
- CTA-EAV--021/81
INIS
- Country of Publication
- Brazil
- Country of Input or Organization
- Brazil
- INIS RN
- 13700705
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- BAECKLUND TRANSFORMATION; CONSERVATION LAWS; NONLINEAR PROBLEMS; SINE-GORDON EQUATION; SOLITONS
- Descriptors DEC
- EQUATIONS; FIELD EQUATIONS; QUASI PARTICLES; TRANSFORMATIONS