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Teoreticheskaya i Matematicheskaya Fizika, 2002, Volume 133, Number 2, Pages 301–310
DOI: https://doi.org/10.4213/tmf399 (Mi tmf399) 		 
This article is cited in 7 scientific papers (total in 7 papers)

A Laplace Ladder of Discrete Laplace Equations

M. Nieszposki

University of Bialystok
Full-text PDF (215 kB) Citations (7)
References:
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DOI: https://doi.org/10.4213/tmf399
Abstract: We present the notion of a Laplace ladder for a discrete analogue of the Laplace equation. We introduce the adjoint of the discrete Moutard equation and a discrete counterpart of the nonlinear representation for the Goursat equation.
Keywords: Laplace ladder, Toda lattice, discrete KP hierarchies.
English version:
Theoretical and Mathematical Physics, 2002, Volume 133, Issue 2, Pages 1576–1584
DOI: https://doi.org/10.1023/A:1021159129804
Bibliographic databases:
Language: Russian
Citation: M. Nieszposki, “A Laplace Ladder of Discrete Laplace Equations”, TMF, 133:2 (2002), 301–310; Theoret. and Math. Phys., 133:2 (2002), 1576–1584
Citation in format AMSBIB
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\issue 2
\pages 1576--1584
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Linking options:
  • https://www.mathnet.ru/eng/tmf399
  • https://doi.org/10.4213/tmf399
  • https://www.mathnet.ru/eng/tmf/v133/i2/p301
    • This publication is cited in the following 7 articles:
    1. Athorne Ch., “Laplace Maps and Constraints For a Class of Third-Order Partial Differential Operators”, J. Phys. A-Math. Theor., 51:8 (2018), 085205  crossref  mathscinet  zmath  isi  scopus  scopus
    2. Rustem Garifullin, Ismagil Habibullin, Marina Yangubaeva, “Affine and finite Lie algebras and integrable Toda field equations on discrete space-time”, SIGMA, 8 (2012), 062, 33 pp.  mathnet  crossref  mathscinet
    3. Doliwa, A, “Darboux transformations for linear operators on two-dimensional regular lattices”, Journal of Physics A-Mathematical and Theoretical, 42:45 (2009), 454001  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus
    4. Nieszporski, M, “Darboux transformations for a 6-point scheme”, Journal of Physics A-Mathematical and Theoretical, 40:15 (2007), 4193  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus
    5. Doliwa, A, “Generalized isothermic lattices”, Journal of Physics A-Mathematical and Theoretical, 40:42 (2007), 12539  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus
    6. Malkiewicz, P, “Darboux transformations for q-discretizations of 2D second order differential equations”, Journal of Nonlinear Mathematical Physics, 12 (2005), 231  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus
    7. Nieszporski M, Santini PM, Doliwa A, “Darboux transformations for 5-point and 7-point self-adjoint schemes and an integrable discretization of the 2D Schrodinger operator”, Physics Letters A, 323:3–4 (2004), 241–250  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Full-text PDF :215
    References:75
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