Geodesic
Some exact Solutions of the Korteweg-de Vries Equation with Variable Coefficients
Zbornik radova, Tome 4 (1984) no. 12, p. 61

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A solution in the form of separated variables of the type of similarity solutions of the classical Korteweg-de Vries equation, a solution in the form of a solitary wave moving in a time-dependent and nonuniform background and a solution in the form of a solitary wave of constant length for the Korteweg-de Vires equation with variable coefficients are found to exist by means of suitable transformations of variables and are discussed in the paper. 
@article{ZR_1984_4_12_a6,
     author = {Vladan D. {\DJ}or{\dj}evi\'c},
     title = {Some exact {Solutions} of the {Korteweg-de} {Vries} {Equation} with {Variable} {Coefficients}},
     journal = {Zbornik radova},
     pages = {61 },
     publisher = {mathdoc},
     volume = {4},
     number = {12},
     year = {1984},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ZR_1984_4_12_a6/}
}
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Vladan D. Đorđević. Some exact Solutions of the Korteweg-de Vries Equation with Variable Coefficients. Zbornik radova, Tome 4 (1984) no. 12, p. 61 . http://geodesic.mathdoc.fr/item/ZR_1984_4_12_a6/