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Matematicheskie Zametki, 2006, Volume 80, Issue 5, Pages 696–700
DOI: https://doi.org/10.4213/mzm3078 (Mi mzm3078) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Integrable boundary-value problem for the Volterra chain on the half-axis

V. L. Vereshchagin

Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences
Full-text PDF (364 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm3078
Abstract: We study quasiperiodic (finite-gap) solutions of the Volterra chain satisfying an integrable boundary condition on the semiaxis. From the set of general finite-gap solutions, only those corresponding to the boundary-value problem are singled out, the relevant condition being expressed as a system of algebraic equations.
Received: 16.04.2004
English version:
Mathematical Notes, 2006, Volume 80, Issue 5, Pages 658–662
DOI: https://doi.org/10.1007/s11006-006-0186-4
Bibliographic databases:
UDC: 517
Language: Russian
Citation: V. L. Vereshchagin, “Integrable boundary-value problem for the Volterra chain on the half-axis”, Mat. Zametki, 80:5 (2006), 696–700; Math. Notes, 80:5 (2006), 658–662
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    1. A. Kh. Khanmamedov, A. M. Guseinov, M. M. Vekilov, “Algorithm for solving the Cauchy problem for one infinite-dimensional system of nonlinear differential equations”, Comput. Math. Math. Phys., 59:2 (2019), 236–240  mathnet  crossref  crossref  isi  elib
    2. I. M. Guseinov, Ag. Kh. Khanmamedov, “An algorithm for solving the Cauchy problem for a finite Langmuir lattice”, Comput. Math. Math. Phys., 49:9 (2009), 1516–1520  mathnet  crossref  zmath  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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