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On Soliton Instabilities In 1+1 Dimensional Integrable Systems

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Instabilities and Nonequilibrium Structures IV

Part of the book series: Mathematics and Its Applications ((MAIA,volume 267))

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Abstract

One space dimensional soliton resonances are investigated for a family of integrable equations which are related by translation to the Sawada-Kotera hierarchy. These resonances are found to induce a structural instability responsible for the decay of solitons with amplitude belonging to a definite interval.

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© 1993 Springer Science+Business Media Dordrecht

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Lambert, F., Springael, J., Willox, R. (1993). On Soliton Instabilities In 1+1 Dimensional Integrable Systems. In: Tirapegui, E., Zeller, W. (eds) Instabilities and Nonequilibrium Structures IV. Mathematics and Its Applications, vol 267. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-1906-1_2

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  • DOI: https://doi.org/10.1007/978-94-011-1906-1_2

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-4842-2

  • Online ISBN: 978-94-011-1906-1

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