Abstract
We describe an approach to construct multi-soliton asymptotic solutions for essentially nonintegrable equations. As for equations, we assume the existence of an exact soliton type solution with an exponential decay rate, however we do not suppose the smallness of the interacting waves. The general idea is realized in the cases of two and three waves and for the gKdV-4 equation with small dispersion.
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Omel’yanov, G. (2017). Multi-soliton Collision for Essentially Nonintegrable Equations. In: Oberguggenberger, M., Toft, J., Vindas, J., Wahlberg, P. (eds) Generalized Functions and Fourier Analysis. Operator Theory: Advances and Applications(), vol 260. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-51911-1_9
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DOI: https://doi.org/10.1007/978-3-319-51911-1_9
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Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-51910-4
Online ISBN: 978-3-319-51911-1
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