Integration of the~nonlinear Korteweg--de Vries equation with an~additional term
Teoretičeskaâ i matematičeskaâ fizika, Tome 203 (2020) no. 2, pp. 192-204

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We use the method of the inverse spectral problem to integrate the nonlinear Korteweg–de Vries equation with an additional term in the class of periodic functions.
Keywords: Korteweg–de Vries equation with an additional term, inverse spectral problem, Sturm–Liouville operator, Dubrovin system of equations.
Mots-clés : Lax pair, trace formula
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     author = {A. B. Khasanov and M. M. Matjakubov},
     title = {Integration of the~nonlinear {Korteweg--de} {Vries} equation with an~additional term},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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A. B. Khasanov; M. M. Matjakubov. Integration of the~nonlinear Korteweg--de Vries equation with an~additional term. Teoretičeskaâ i matematičeskaâ fizika, Tome 203 (2020) no. 2, pp. 192-204. http://geodesic.mathdoc.fr/item/TMF_2020_203_2_a2/