B. A. Babajanov, A. B. Khasanov, “Periodic Toda chain with an integral source”, TMF, 184:2 (2015), 253–268; Theoret. and Math. Phys., 184:2 (2015), 1114

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Teoreticheskaya i Matematicheskaya Fizika, 2015, Volume 184, Number 2, Pages 253–268
DOI: https://doi.org/10.4213/tmf8859 (Mi tmf8859)

This article is cited in 18 scientific papers (total in 18 papers)

Periodic Toda chain with an integral source

B. A. Babajanov, A. B. Khasanov

Urgench State University, Urgench, Uzbekistan

Full-text PDF (417 kB) Citations (18)

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DOI: https://doi.org/10.4213/tmf8859

Abstract: We use the inverse spectral transform method to integrate the periodic Toda chain with an integral source.

Keywords: Toda chain, discrete Hill operator, integral source, inverse spectral problem, trace formula.

Received: 22.01.2015
Revised: 19.03.2015

English version:
Theoretical and Mathematical Physics, 2015, Volume 184, Issue 2, Pages 1114–1128
DOI: https://doi.org/10.1007/s11232-015-0321-z

Bibliographic databases:

Language: Russian

Citation: B. A. Babajanov, A. B. Khasanov, “Periodic Toda chain with an integral source”, TMF, 184:2 (2015), 253–268; Theoret. and Math. Phys., 184:2 (2015), 1114–1128

Citation in format AMSBIB

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Linking options:

https://www.mathnet.ru/eng/tmf8859

https://doi.org/10.4213/tmf8859

https://www.mathnet.ru/eng/tmf/v184/i2/p253

This publication is cited in the following 18 articles:

B. A. Babajanov, F. B. Abdikarimov, F. U. Sulaymonov, “On the Integration of the Hierarchy of the Kaup–Boussinesq System with a Self-Consistent Source”, Lobachevskii J Math, 45:7 (2024), 3233
U.A. Hoitmetov, T. G. Hasanov, “Integration of the Korteweg-de Vries equation with loaded terms and a self-consistent source in the class of rapidly decreasing functions”, Vestn. Udmurtsk. un-ta. Matem. Mekh. Kompyut. nauki, 33:1 (2023), 156–170
A. B. Khasanov, U. O. Xudayorov, “Integration of the Modified Korteweg–de Vries–Liouville Equation in the Class of Periodic Infinite-Gap Functions”, Math. Notes, 114:6 (2023), 1247–1259
A. B Khasanov, Kh. N Normurodov, U. O Khudaerov, “Cauchy Problem for the Nonlinear Liouville Equation in the Class of Periodic Infinite-Gap Functions”, Differencialʹnye uravneniâ, 59:10 (2023), 1412
B. A. Babajanov, M. M. Ruzmetov, “Solution of the Finite Toda Lattice with Self-Consistent Source”, Lobachevskii J Math, 44:7 (2023), 2587
Bazar Babajanov, Michal Fečkan, Aygul Babadjanova, “On the Differential-Difference Sine-Gordon Equation with an Integral Type Source”, Mathematica Slovaca, 73:6 (2023), 1499
A. B. Khasanov, Kh. N. Normurodov, U. O. Khudayorov, “Cauchy Problem for the Nonlinear Liouville Equation in the Class of Periodic Infinite-Gap Functions”, Diff Equat, 59:10 (2023), 1413
B.A. Babajanov, M.M. Ruzmetov, Sh.O. Sadullaev, “Integration of the finite complex Toda lattice with a self-consistent source”, Partial Differential Equations in Applied Mathematics, 7 (2023), 100510
Bazar Babajanov, Murod Ruzmetov, Sherzod Sadullaev, NOVEL TRENDS IN RHEOLOGY IX, 2997, NOVEL TRENDS IN RHEOLOGY IX, 2023, 020023
B. A. Babajanov, A. K. Babadjanova, A. Sh. Azamatov, “Integration of the differential–difference sine-Gordon equation with a self-consistent source”, Theoret. and Math. Phys., 210:3 (2022), 327–336
B. A. Babajanov, A. Sh. Azamatov, “Integration of the Kaup-Boussinesq system with a self-consistent source via inverse scattering method”, Vestn. Udmurtsk. un-ta. Matem. Mekh. Kompyut. nauki, 32:2 (2022), 153–170
Aknazar B. Khasanov, Bazar A. Babajanov, Dilshod O. Atajonov, “On the integration of the periodic Camassa–Holm equation with a self-consistent source”, Zhurn. SFU. Ser. Matem. i fiz., 15:6 (2022), 785–796
B. A. Babajanov, D. O. Atajonov, “On the integration of the periodical Camassa–Holm equation with an integral type source”, Russian Math. (Iz. VUZ), 66:11 (2022), 1–11
B. A. Babajanov, M. M. Ruzmetov, “On the construction and integration of a hierarchy for the periodic Toda lattice with a self-consistent source”, Izvestiya Irkutskogo gosudarstvennogo universiteta. Seriya Matematika, 38 (2021), 3–18
A. Yakhshimuratov, T. Kriecherbauer, B. Babajanov, “On the Construction and Integration of a Hierarchy for the Kaup System with a Self-Consistent Source in the Class of Periodic Functions”, Z. mat. fiz. anal. geom., 17:2 (2021), 233
Bazar Babajanov, Azizbek Azamatov, Alisher Babajonov, “Solving the Periodic Toda-Type Chain with a Self-Consistent Source”, J. Basic Appl. Sci., 16 (2020), 43
B. A. Babajanov, A. B. Khasanov, “Integration of equation of Toda periodic chain kind”, Ufa Math. J., 9:2 (2017), 17–24
B. Babajanov, M. Feckan, G. Urazboev, “On the periodic Toda lattice hierarchy with an integral source”, Commun. Nonlinear Sci. Numer. Simul., 52 (2017), 110–123

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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References:	61
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