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Stability of the minimum solitary wave of a nonlinear spinorial model

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1986-07-15
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American Physical Society
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It is shown that the minimum solitary wave of a nonlinear spinorial model is unstable under charge-preserving deformations via a radiative decay. We analyze the cause of this decay.
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© 1986 The American Physical Society. We wish to thank the Junta de Energia Nuclear, Madrid, for use of computer facilities. This work is part of a program partially supported by Comision Asesora de Investigacion Cientifica y Tecnica.
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1 W. Strauss and L. Vizquez, this issue, Phys. Rev. D 34, 641 (1986). 2 J. Shatah, Commun. Math. Phys. 91, 313 (1983); Trans. Amer. Math. Soc. 290, 701 (1985); J. Shatah and W. Strauss, Commun. Math. Phys. 100, 173 (1985). 3 A. Álvarez and M. Soler, Phys. Rev. Lett. 50, 1230 (1983). 4 I. L. Bogolubsky, Phys. Lett. 73A, 87 (1979); J. Werle, Acta Phys. Pol. B 12, 601 (1981); P. Mathieu and T. F. Morris, Phys. Lett. 1268, 74 (1983); 1558, 156 (1985). 5 M. Soler, Phys. Rev. D 1, 2766 (1970); see, for a review, A. F. Ranada, in Quantum Theory, Groups, Fields and Particles, edited by A. O. Barut (Mathematical Physics Studies 4) (Reidel, Dordrecht, 1983). 6 A. Alvarez, Phys. Rev. D 31, 2701 (1985). 7 D. L. T. Anderson and G. H. Derrick, J. Math. Phys. 11, 1336 (1970).
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