参考文献:1. M. Bordemann and J. Hoppe, / The dynamics of relativistic membranes. 2 / . Nonlinear waves and covariantly reduced membrane equations, / Phys. Lett. B 325 (1994) 359 [hep-th/9309025] [INSPIRE]. 2. M. Bordemann and J. Hoppe, / The dynamics of relativistic membranes. 1 / . Reduction to two-dimensional fluid dynamics, / Phys. Lett. B 317 (1993) 315 [hep-th/9307036] [INSPIRE]. 3. R. Jackiw and A. Polychronakos, / Fluid dynamical profiles and constants of motion from D-branes, / Commun. Math. Phys. 207 (1999) 107 [hep-th/9902024] [INSPIRE]. CrossRef 4. M. Born and L. Infeld, / Foundations of the new field theory, / Nature 132 (1933) 1004. CrossRef 5. M. Born and L. Infeld, / Foundations of the new field theory, / Proc. Roy. Soc. Lond. A 144 (1934) 425 [INSPIRE]. 6. B.M. Barbashov and N.A. Chernikov, / Solution of the two plane wave scattering problem in a nonlinear scalar field theory of the Born-Infeld type, / Sov. Phys. JETP 24 (1967) 437. 7. D. Fairlie and J. Mulvey, / Integrable generalizations of the two-dimensional Born-Infeld equation, / J. Phys. A 27 (1994) 1317 [hep-th/9310005] [INSPIRE]. 8. M. Arik, F. Neyzi, Y. Nutku, P. Olver and J. Verosky, / Multi-Hamiltonian structure of the Born-Infeld equation, / J. Math. Phys. 30 (1989) 1338. CrossRef 9. B.M. Barbashov and N.A. Chernikov, / Solution and quantization of a nonlinear two-dimensional model for a Born-Infeld type field, / Sov. Phys. JETP 23 (1966) 861. 10. R. Courant, / Dirichlet鈥?em class="a-plus-plus">s principle, conformal mapping and minimal surfaces, Interscience Pub. Inc., New York U.S.A. (1950). 11. Y.L. Xin, / Minimal submanifolds and related topics, Nankai Tracts in Mathematics 8, World Scientific, Singapore (2003). 12. U. Dierkes, S. Hildebrandt, R. Jakob, F. Sauvigny and A. K猫uster, / Minimal surfaces, Springer-Verlag, Berlin-Heidelberg Germany (2010). 13. R. Finn, / On equations of minimal surface type, / Ann. Math. 60 (1954) 397. CrossRef 14. M.H.L. Pryce, / The two-dimensional electrostatic solutions of Born鈥?em class="a-plus-plus">s new field equations, / Proc. Cambr. Phil. Soc. 31 (1935) 50. CrossRef 15. M.H.L. Pryce, / On a uniqueness theorem, / Proc. Cambr. Phil. Soc. 31 (1935) 625. CrossRef 16. R. Ferraro, 2 / D Born-Infeld electrostatic fields, / Phys. Lett. A 325 (2004) 134 [hep-th/0309185] [INSPIRE]. 17. R. Ferraro and M.E. Lipchak, / Born-Infeld corrections to Coulombian interactions, / Phys. Rev. E 77 (2008) 046601 [hep-th/0609141] [INSPIRE]. 18. R. Ferraro, / Born-Infeld electrostatics in the complex plane, / JHEP 12 (2010) 028 [arXiv:1007.2651] [INSPIRE]. CrossRef 19. O. Kobayashi, / Maximal surfaces in the 3 / -dimensional Minkowski space L 3, / Tokyo J. Math. 6 (1983) 297. CrossRef 20. G. Boillat, / Nonlinear electrodynamics 鈥? / Lagrangians and equations of motion, / J. Math. Phys. 11 (1970) 941 [INSPIRE]. CrossRef 21. J. Plebanski, / Lectures on non-linear electrodynamics, NORDITA, Copenhagen Denmark (1970). 22. I. Bialynicki-Birula, / Nonlinear electrodynamics: variations on a theme by Born and Infeld, in / J. Lopuszanski鈥?em class="a-plus-plus">s Festschrift, Quantum Theory of Particles and Fields, B. Jancewicz and J. Lukierski eds., World Scientific, Singapore (1983), pg. 31. 23. R. Kerner, A.L. Barbosa and D.V. Gal鈥檛sov, / Topics in Born-Infeld electrodynamics, in / Proceedings of XXXVII Karpacz Winter School, J. Lukierski and J. Rembielinski eds., Amer. Math. Soc., Providence U.S.A. (2001) [ / AIP Conf. Proc. 589 (2001) 377] [INSPIRE]. 24. M. Aiello, G. Bengochea and R. Ferraro, / Anisotropic effects of background fields on Born-Infeld electromagnetic waves, / Phys. Lett. A 361 (2007) 9 [hep-th/0607072] [INSPIRE]. 25. E.Yu. Petrov and A.V. Kudrin, / Exact self-similar solutions in Born-Infeld theory, / Phys. Rev. D 87 (2013) 087703 [arXiv:1302.4353] [INSPIRE]. 26. M.K.-H. Kiessling, / Convergent perturbative power series solution of the stationary Maxwell-Born-Infeld field equations with regular sources, / J. Math. Phys. 52 (2011) 022902 [INSPIRE]. CrossRef 27. M.K.-H. Kiessling, / Some uniqueness results for stationary solutions to the Maxwell-Born-Infeld field equations and their physical consequences, / Phys. Lett. A 375 (2011) 3925. 28. Y. Brenier, / Hydrodynamic structure of the augmented Born-Infeld equations, / Arch. Rat. Mech. Anal. 172 (2004) 65. CrossRef 29. T. Dereli and R.W. Tucker, / Charged relativistic fluids and non-linear electrodynamics, / Europhys. Lett. 89 (2010) 20009 [arXiv:1001.1282] [INSPIRE]. CrossRef 30. D. Burton, R. Trines, T. Walton and H. Wen, / Exploring Born-Infeld electrodynamics using plasmas, / J. Phys. A 44 (2011) 095501 [arXiv:1006.2246] [INSPIRE]. 31. R. Ferraro, / Testing Born-Infeld electrodynamics in waveguides, / Phys. Rev. Lett. 99 (2007) 230401 [arXiv:0710.3552] [INSPIRE]. CrossRef 32. R. Ferraro, / Testing nonlinear electrodynamics in waveguides: the effect of magnetostatic fields on the transmitted power, / J. Phys. A 43 (2010) 195202 [INSPIRE].
作者单位:Rafael Ferraro (1) (2)
1. Instituto de Astronom铆a y F铆sica del Espacio, Casilla de Correo 67, Sucursal 28, 1428, Buenos Aires, Argentina 2. Departamento de F铆sica, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, Pabell贸n I, 1428, Buenos Aires, Argentina