Integration of nonlinear evolution equations of negative order
Main publications:
M. M. Khasanov, I. D. Rakhimov, “Integrirovanie uravneniya KdF otritsatelnogo poryadka so svobodnym chlenom v klasse periodicheskikh funktsii”, Chebyshevskii sbornik, 24:2 (2023), 266-275
G. U. Urazboeva, A. B. Yakhshimuratov, M. M. Khasanov, “Integrirovanie modifitsirovannogo uravneniya Kortevega–de Friza otritsatelnogo poryadka v klasse periodicheskikh funktsii”, Teoreticheskaya i matematicheskaya fizika, 217:2 (2023), 317-328
G. U. Urazboev, M. M. Khasanov, “O periodicheskikh resheniyakh uravneniya Shredingera otritsatelnogo poryadka s samosoglasovannym istochnikom integralnogo tipa”, Matematicheskie trudy, 28:3 (2025), 146-165
M. M. Khasanov, I. D. Rakhimov, D. B. Azimov, “Integration of the loaded negative order nonlinear Schrodinger equation in the class of periodic functions”, Izvestiya Irkutskogo gosudarstvennogo universiteta. Seriya «Matematika», 50:4 (2024), 51-65
G. U. Urazboev, M. M. Khasanov, “Integrirovanie uravneniya Kortevega-de Friza otritsatelnogo poryadka s samosoglasovannym istochnikom v klasse periodicheskikh funktsii”, Vestnik Udmurtskogo universiteta. Matematika. Mekhanika. Kompyuternye nauki, 32:2 (2022), 228-239
A. B. Yakhshimuratov, M. M. Khasanov, “Integration of the modified Korteweg-de Vries equation with an integral source”, Chebyshevskii Sb., 27:1 (2026), 111–133
2.
G. U. Urazboev, M. M. Khasanov, “On exact finite-gap solutions of the negative-order Korteweg–de Vries equation”, TMF, 226:1 (2026), 104–114; Theoret. and Math. Phys., 226:1 (2026), 87–96
G. U. Urazboev, M. M. Khasanov, “On periodic solutions of the negative-order Schrodinger equation with an integral-type self-consistent source”, Mat. Tr., 28:3 (2025), 146–165
2024
4.
M. M. Khasanov, I. D. Rakhimov, D. B. Azimov, “Integration of the loaded negative order nonlinear Schrodinger equation in the class of periodic functions”, Bulletin of Irkutsk State University. Series Mathematics, 50 (2024), 51–65
G. U. Urazboev, M. M. Khasanov, O. B. Ismoilov, “Integration of negative-order modified Korteweg–de Vries equation with an integral source”, Izv. IMI UdGU, 63 (2024), 80–90
M. M. Khasanov, I. D. Rakhimov, “Integration of the KdV equation of negative order with a free term in the class of periodic functions”, Chebyshevskii Sb., 24:2 (2023), 266–275
Gayrat U. Urazboev, Muzaffar M. Khasanov, Iroda I. Baltaeva, “Integration of the negative order Korteweg-de Vries equation with a special source”, Bulletin of Irkutsk State University. Series Mathematics, 44 (2023), 31–43
G. U. Urazboev, A. B. Yakhshimuratov, M. M. Khasanov, “Integration of negative-order modified Korteweg–de Vries equation in a class of periodic functions”, TMF, 217:2 (2023), 317–328; Theoret. and Math. Phys., 217:2 (2023), 1689–1699
Iroda I. Baltaeva, Ilkham D. Rakhimov, Muzaffar M. Khasanov, “Exact traveling wave solutions of the loaded modified Korteweg-de Vries equation”, Bulletin of Irkutsk State University. Series Mathematics, 41 (2022), 85–95
G. U. Urazboev, M. M. Hasanov, “Integration of the negative order Korteweg-de Vries equation with a self-consistent source in the class of periodic functions”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 32:2 (2022), 228–239
A. B. Hasanov, M. M. Hasanov, “Integration of the nonlinear Schrödinger equation with an additional term in the class of periodic functions”, TMF, 199:1 (2019), 60–68; Theoret. and Math. Phys., 199:1 (2019), 525–532
M. M. Khasanov, “Fractal characteristics of the dynamics of control plants”, Avtomat. i Telemekh., 1994, no. 2, 59–67; Autom. Remote Control, 55:2 (1994), 196–201
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