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Remarks About the Dynamics of the Solitary Waves

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Symmetries in Science III
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Abstract

The solitary waves appear as solutions of nonlinear partial differential equations which modelate three large classes of physical phenomena [1,2]: a) Propagation of waves in continuous media, b) Condensed matter physics, c) Particle physics. The characteristic properties of the solitary waves are the following: 1. Constance in time of their wave form and velocity. 2. They represent structures which do not spread: the effect of the dispersion is compensated by the effect of the nonlinearity. 3. In the framework of the classical extended particles, the solitary waves are localizations of energy, momentum, charge, magnetic moment as well as other physical quantities.

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© 1989 Plenum Press, New York

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Vázquez, L. (1989). Remarks About the Dynamics of the Solitary Waves. In: Gruber, B., Iachello, F. (eds) Symmetries in Science III. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0787-7_28

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  • DOI: https://doi.org/10.1007/978-1-4613-0787-7_28

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4612-8082-8

  • Online ISBN: 978-1-4613-0787-7

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