About solving the Korteweg–de Vries equation with step-like initial data
DOI:
https://doi.org/10.15407/dopovidi2015.02.007Keywords:
Cauchy problem, decrease of solutions, Korteweg–de Vries equation, smoothness of the potentialAbstract
The solvability of a Cauchy problem for the Korteweg–de Vries equation is established, and the rate of decrease of solutions as a function of the smoothness of the potential is found.
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