Published May 16, 1981
| Version v1
Journal article
Correspondence between nonlinear generalizations of the Klein-Gordon equation and generalizations of the sine-Gordon equation
Creators
- 1. Department of Chemistry and Physics, Winthrop College, Rock Hill, S.C. 29733 (USA)
- 2. Georgia Univ., Athens (USA). Dept. of Physics and Astronomy
Description
Through the use of the dependent variable transformation PHI = sin 1/2 a PSI, it is shown that the nonlinear Klein-Gordon equation deltasub(μ)deltasup(μ)PHI + m2PHI + lambda1PHIsup(2a+1) + lambda2PHIsup(4q+1) = 0 is equivalent to a generalized sine-Gordon equation in PSI. The latter is shown to have applications in quantization of solitary waves. (author)
Additional details
Publishing Information
- Journal Title
- Lett. Nuovo Cim.
- Journal Volume
- 31
- Journal Issue
- 3
- Series
- Lett. Nuovo Cim.
- Journal Page Range
- 89-93
- ISSN
- 0024-1318
INIS
- Country of Publication
- Italy
- Country of Input or Organization
- Italy
- INIS RN
- 14769646
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- FIELD EQUATIONS; KLEIN-GORDON EQUATION; NONLINEAR PROBLEMS; QUANTUM FIELD THEORY; SINE-GORDON EQUATION; SOLITONS; TRANSFORMATIONS; WAVE FORMS
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; EQUATIONS; FIELD THEORIES; PARTIAL DIFFERENTIAL EQUATIONS; QUASI PARTICLES; WAVE EQUATIONS