Geodesic
The solution of general KdV equation in a~class of steplike functions
Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 18, Tome 317 (2004), pp. 174-199

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In this work laws of evolution of the scattering data of the Sturm–Liouville operator with potential being solution of general Korteweg–de Vries equation and general Korteweg–de Vries equation with a source in a class of steplike functions are deduced. 
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     author = {A. B. Khasanov and G. U. Urazboev},
     title = {The solution of general {KdV} equation in a~class of steplike functions},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {174--199},
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     volume = {317},
     year = {2004},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2004_317_a9/}
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A. B. Khasanov; G. U. Urazboev. The solution of general KdV equation in a~class of steplike functions. Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 18, Tome 317 (2004), pp. 174-199. http://geodesic.mathdoc.fr/item/ZNSL_2004_317_a9/