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Teoreticheskaya i Matematicheskaya Fizika, 2008, Volume 154, Number 2, Pages 305–315
DOI: https://doi.org/10.4213/tmf6171 (Mi tmf6171) 		 
This article is cited in 9 scientific papers (total in 9 papers)

Toda lattice with a special self-consistent source

G. U. Urazboev

Al-Kharezmi Urgench State University, Khorezm, Uzbekistan
Full-text PDF (396 kB) Citations (9)
References:
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DOI: https://doi.org/10.4213/tmf6171
Abstract: We describe a method for integrating the Toda lattice with a self-consistent source using the inverse scattering method for a discrete Sturm–Liouville operator with moving eigenvalues.
Keywords: Toda lattice, self-consistent source, inverse scattering method, moving eigenvalues.
Received: 15.03.2007
English version:
Theoretical and Mathematical Physics, 2008, Volume 154, Issue 2, Pages 260–269
DOI: https://doi.org/10.1007/s11232-008-0025-8
Bibliographic databases:
Language: Russian
Citation: G. U. Urazboev, “Toda lattice with a special self-consistent source”, TMF, 154:2 (2008), 305–315; Theoret. and Math. Phys., 154:2 (2008), 260–269
Citation in format AMSBIB
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  • https://doi.org/10.4213/tmf6171
  • https://www.mathnet.ru/eng/tmf/v154/i2/p305
    • This publication is cited in the following 9 articles:
    1. B. A. Babajanov, M. M. Ruzmetov, “Solution of the Finite Toda Lattice with Self-Consistent Source”, Lobachevskii J Math, 44:7 (2023), 2587  crossref
    2. 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  crossref
    3. 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  mathnet  crossref
    4. Bazar Babajanov, Azizbek Azamatov, Alisher Babajonov, “Solving the Periodic Toda-Type Chain with a Self-Consistent Source”, J. Basic Appl. Sci., 16 (2020), 43  crossref
    5. B. A. Babajanov, Springer Proceedings in Mathematics & Statistics, 264, Algebra, Complex Analysis, and Pluripotential Theory, 2018, 45  crossref
    6. Babajanov B. Feckan M. Urazboev G., “On the Periodic Toda Lattice With a Self-Consistent Source”, Commun. Nonlinear Sci. Numer. Simul., 22:1-3 (2015), 1223–1234  crossref  mathscinet  zmath  adsnasa  isi  scopus
    7. B. A. Babajanov, A. B. Khasanov, “Periodic Toda chain with an integral source”, Theoret. and Math. Phys., 184:2 (2015), 1114–1128  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    8. Urazboev G., “Integrating the Toda Lattice with Self-Consistent Source via Inverse Scattering Method”, Math. Phys. Anal. Geom., 15:4 (2012), 401–412  crossref  mathscinet  zmath  isi  scopus
    9. A. Kh. Khanmamedov, “The Cauchy problem for a semi-infinite Volterra chain with an asymptotically periodic initial condition”, Siberian Math. J., 51:2 (2010), 346–356  mathnet  crossref  mathscinet  isi  elib  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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