Abstract
Shock waves are described qualitatively for a class of one-dimensional models with cubic nonlinearity (of the type of the modified Korteweg-de Vries equation):u t−6u 2ux+γu xxx=vu xx. Both the integrable and the nonintegrable case are considered. The behavior of a shock wave in the limitt→∞ is considered.
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Additional information
St. Petersburg Branch of the V. A. Steklov Mathematics Institute, Russian Academy of Sciences. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 97, No. 2, pp. 191–212, November, 1993.
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Bikbaev, R.F. Shock waves in one-dimensional models with cubic nonlinearity. Theor Math Phys 97, 1236–1249 (1993). https://doi.org/10.1007/BF01016869
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DOI: https://doi.org/10.1007/BF01016869