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Found 6 Documents (Results 1–6)

Stepwise asymptotic solutions to the Korteweg-de Vries equation with variable coefficients and a small parameter at the higher-order derivative. (English. Russian original) Zbl 1454.35321

Cybern. Syst. Anal. 56, No. 6, 934-942 (2020); translation from Kibern. Sist. Anal. 2020, No. 6, 86-95 (2020).
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Asymptotic \(\Sigma\)-solutions of a singularly perturbed Benjamin-Bona-Mahony equation with variable coefficients. (English. Ukrainian original) Zbl 1428.35465

Ukr. Math. J. 70, No. 2, 266-287 (2018); translation from Ukr. Mat. Zh. 70, No. 2, 236-254 (2018).
MSC:  35Q53 35B40 35B25
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Two-phase solitonlike solutions of the Cauchy problem for a singularly perturbed Korteweg-de-Vries equation with variable coefficients. (English. Ukrainian original) Zbl 1309.35116

Ukr. Math. J. 65, No. 11, 1681-1697 (2014); translation from Ukr. Mat. Zh. 65, No. 11, 1515-1530 (2013).
MSC:  35Q53 35C08 35B40
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Existence of a solution to the inhomogeneous equation with the one-dimensional Schrödinger operator in the space of quickly decreasing functions. (English. Ukrainian original) Zbl 1308.35282

J. Math. Sci., New York 187, No. 1, 70-76 (2012); translation from Ukr. Mat. Visn. 9, No. 2, 237-245 (2012).
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Asymptotic \(m\)-phase soliton-type solutions of a singularly perturbed Korteweg-de Vries equation with variable coefficients. (English. Russian original) Zbl 1257.35167

Ukr. Math. J. 64, No. 7, 1109-1127 (2012); translation from Ukr. Mat. Zh. 64, No. 7, 988-993 (2012).
MSC:  35Q53 35Q51
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