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On complex-valued solutions of the general loaded Korteweg-de Vries equation with a source. (English. Russian original) Zbl 07537750

Differ. Equ. 58, No. 3, 381-391 (2022); translation from Differ. Uravn. 58, No. 3, 385-394 (2022).
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Integration of the general loaded Korteweg-de Vries equation with an integral type source in the class of rapidly decreasing complex-valued functions. (English. Russian original) Zbl 07411072

Russ. Math. 65, No. 7, 43-57 (2021); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2021, No. 7, 52-66 (2021).
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On integration of Korteweg-de Vries equation in a class of rapidly decreasing complex-valued functions. (English. Russian original) Zbl 1393.35207

Russ. Math. 62, No. 3, 68-78 (2018); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2018, No. 3, 79-90 (2018).
MSC:  35Q53 37K15 45H05
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Introduction to non-Kerr law optical solitons. (English) Zbl 1156.78001

Chapman & Hall/CRC Applied Mathematics and Nonlinear Science Series. Boca Raton, FL: Chapman & Hall/CRC (ISBN 1-58488-638-2/hbk; 978-1-4200-1140-1/ebook). ix, 198 p. (2007).
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On the inverse problem of the scattering theory for a boundary value problem. (English) Zbl 1106.34059

Mladenov, Ivaïlo (ed.) et al., Proceedings of the 7th international conference on geometry, integrability and quantization, Sts. Constantine and Elena, Bulgaria, June 2–10, 2005. Sofia: Bulgarian Academy of Sciences (ISBN 954-8495-30-9/pbk). 226-236 (2006).
MSC:  34L25 34B40 34L40
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The inverse problem of Sturm-Liouville for integro-differential equations. (English) Zbl 1097.45014

Blatt, H.-P. (ed.) et al., Analytical and approximate methods. Proceedings of the international conference at the Kyrgyz-Russian-Slavic University Bishkek, Kyrgyzstan, September 23–24, 2002. Aachen: Shaker Verlag (ISBN 3-8322-2147-6/pbk). Berichte aus der Mathematik, 95-100 (2003).
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Inverse scattering problems for hyperbolic equations and their applications. (English) Zbl 0856.35133

Boutet de Monvel, Anne (ed.) et al., Algebraic and geometric methods in mathematical physics. Proceedings of the 1st Ukrainian-French-Romanian summer school, Kaciveli, Ukraine, September 1-14, 1993. Dordrecht: Kluwer Academic Publishers. Math. Phys. Stud. 19, 439-441 (1996).
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Painleve property and Bäcklund transformations for mathematical physics. (Svojstvo Penleve i preobrazovaniya Behklunda v matematicheskoj fizike.) (Russian) Zbl 0900.35351

Moskva: Moskovskij Inzhenerno-Fizicheskij Institut, 79 p. (1989).
MSC:  35Q53 58J72 35Q58 35Q51 37J99 35Q55
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