The problem of orbital stability of smooth solitary waves in the generalized Korteweg–de-Vries equation with combined dispersion is considered. The results show that the smooth solitary waves are stable for any speed of wave propagation.
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 63, No. 8, pp. 1071–1077, August, 2011.
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Yin, J.L. Stability of smooth solitary waves for the generalized Korteweg–de-Vries equation with combined dispersion. Ukr Math J 63, 1234–1240 (2012). https://doi.org/10.1007/s11253-012-0574-8
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DOI: https://doi.org/10.1007/s11253-012-0574-8