Transvectant, integrability and the Born-Infeld equation

Modern Physics Letters A

Volumn 19, Issue 10, 2004, Pages 775-782

  Guha, Partha ^a  

^a S N BOSE NATIONAL CENTRE FOR BASIC SCIENCES   (India)

Author keywords

Born Infeld action; Chaplygin gas equation; Transvectant

Indexed keywords

ARTICLE; BORN INFIELD EQUATION; CHAPLYGIN GAS EQUATION; COSMOS; ENERGY; HYDRODYNAMICS; MATHEMATICAL MODEL; QUANTUM THEORY;

EID: 2142816478     PISSN: 02177323     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0217732304013714     Document Type: Article

References (19)

1. M. Born and L. Infeld, Proc. Roy. Soc. London A144, 425 (1934).
2. M. Arik, F. Neyzi, Y. Nutku, P. Olver and J. Verosky, J. Math. Phys. 30, 1338 (1989).
3. J. C. Brunelli and A. Das, Phys. Lett. B426, 57 (1998).
4. R. Sundrum, Phys. Rev. D59, 085009 (1999).
5. G. W. Gibbons and C. A. R. Herdeiro, Phys. Rev. D63, 064006 (2001).
6. G. W. Gibbons, Pulse propagation in Born-Infeld theory, the world-volume equivalence principle and the Hagedorn-like equation of state of the Chaplygin gas, special issue dedicated to the Centennial of Tomsk State Pedagogical University, Grav. Cosm. 8, 2 (2002).
7. G. W. Gibbons, K. Hori and P. Yi, Nucl. Phys. B596, 136 (2001).
8. G. B. Whitham, Linear and Nonlinear Waves (Wiley, 1974).
9. D. B. Fairlie and J. A. Mulvey, J. Phys. A27, 1317 (1994).
10. M. Pavlov, Theor. Math. Phys. 73, 1242 (1986).
11. J. E. Marsden and T. Ratiu, Introduction to Mechanics and Symmetry (Springer-Verlag, 1994).
12. P. Guha, J. Geom. Phys. 46, 243 (2003).
13. M. J. Lighthill, J. Inst. Math. Appl. 1, 269 (1965).
14. M. J. Lighthill, Proc. Roc. Soc. London A299, 38 (1967).
15. P. Olver, Classical Invariant Theory, London Mathematical Society Student Texts, Vol. 44 (Cambridge Univ. Press, 1999).
16. P. Olver, Invariant theory and differential equations, in Invariant Theory, Lecture Notes in Math., Vol. 1278 (Springer, 1987), pp. 62-80.
17. R. Osserman, A Survey of Minimal Surfaces (Van Nostrand Reinhold Co., 1969).
18. L. Baker and D. B. Fairlie, Nucl. Phys. B596, 348 (2001).
19. L. Baker and D. B. Fairlie, J. Math. Phys. 41, 4284 (2000).