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Cauchy problem for the Korteweg-de Vries equation in the class of periodic infinite-gap functions. (English. Russian original) Zbl 07897438

J. Math. Sci., New York 283, No. 4, 674-689 (2024); translation from Zap. Nauchn. Semin. POMI 506, 258-278 (2021).
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The Cauchy problem for the nonlinear complex modified Korteweg-de Vries equation with additional terms in the class of periodic infinite-gap functions. (English. Russian original) Zbl 07883897

Sib. Math. J. 65, No. 4, 846-868 (2024); translation from Sib. Mat. Zh. 65, No. 4, 735-759 (2024).
MSC:  35Q53 37K15 35C08
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