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Dokl. Akad. Nauk, 1995, Volume 343, Number 6, Pages 746–748 (Mi dan4364)  

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

On nonlinear Darboux-integrable hyperbolic equations

A. V. Zhiber, V. V. Sokolov, S. Ya. Startsev



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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. S. Ya. Startsev, “Differential substitutions of the Miura transformation type”, Theoret. and Math. Phys., 116:3 (1998), 1001–1010  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    2. S. Ya. Startsev, “Laplace invariants of hyperbolic equations linearizable by a differential substitution”, Theoret. and Math. Phys., 120:2 (1999), 1009–1018  mathnet  crossref  crossref  mathscinet  zmath  isi
    3. V. E. Adler, S. Ya. Startsev, “Discrete analogues of the Liouville equation”, Theoret. and Math. Phys., 121:2 (1999), 1484–1495  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    4. S. P. Tsarev, “On Darboux-Integrable Nonlinear Partial Differential Equations”, Proc. Steklov Inst. Math., 225 (1999), 372–381  mathnet  mathscinet  zmath
    5. S. P. Tsarev, “Factoring linear partial differential operators and the Darboux method for integrating nonlinear partial differential equations”, Theoret. and Math. Phys., 122:1 (2000), 121–133  mathnet  crossref  crossref  mathscinet  zmath  isi
    6. A. V. Zhiber, V. V. Sokolov, “Exactly integrable hyperbolic equations of Liouville type”, Russian Math. Surveys, 56:1 (2001), 61–101  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    7. S. Ya. Startsev, “Hyperbolic Equations Admitting Differential Substitutions”, Theoret. and Math. Phys., 127:1 (2001), 460–470  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    8. A. V. Zhiber, S. Ya. Startsev, “Integrals, Solutions, and Existence Problems for Laplace Transformations of Linear Hyperbolic Systems”, Math. Notes, 74:6 (2003), 803–811  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    9. O. V. Kaptsov, “Invariants of characteristics of some systems of partial differential equations”, Siberian Math. J., 45:3 (2004), 475–487  mathnet  crossref  mathscinet  zmath  isi
    10. A. M. Gurieva, A. V. Zhiber, “Laplace Invariants of Two-Dimensional Open Toda Lattices”, Theoret. and Math. Phys., 138:3 (2004), 338–355  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    11. V. L. Vereshchagin, “Darboux-integrable discrete systems”, Theoret. and Math. Phys., 156:2 (2008), 1142–1153  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    12. V. L. Vereshchagin, “Discrete Toda lattices and the Laplace method”, Theoret. and Math. Phys., 160:3 (2009), 1229–1237  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    13. A. M. Gureva, “Postroenie obschego resheniya vyrozhdennoi sistemy Polmeiera–Lunda–Redzhe”, Vestn. Sam. gos. tekhn. un-ta. Ser. Fiz.-mat. nauki, 1(18) (2009), 271–275  mathnet  crossref
    14. A. M. Gureva, “Ob odnom podkhode k postroeniyu obschego resheniya spetsialnoi dvukhkomponentnoi nelineinoi giperbolicheskoi sistemy uravnenii”, Trudy shestoi Vserossiiskoi nauchnoi konferentsii s mezhdunarodnym uchastiem (1–4 iyunya 2009 g.). Chast 3, Differentsialnye uravneniya i kraevye zadachi, Matem. modelirovanie i kraev. zadachi, SamGTU, Samara, 2009, 107–111  mathnet
    15. Sergey Ya. Startsev, “On Non-Point Invertible Transformations of Difference and Differential-Difference Equations”, SIGMA, 6 (2010), 092, 14 pp.  mathnet  crossref  mathscinet
    16. M. N. Kuznetsova, “O nelineinykh giperbolicheskikh uravneniyakh, svyazannykh differentsialnymi podstanovkami s uravneniem Kleina–Gordona”, Ufimsk. matem. zhurn., 4:3 (2012), 86–103  mathnet  mathscinet
    17. Mariya N. Kuznetsova, Asli Pekcan, Anatoliy V. Zhiber, “The Klein–Gordon Equation and Differential Substitutions of the Form $v=\varphi(u,u_x,u_y)$”, SIGMA, 8 (2012), 090, 37 pp.  mathnet  crossref  mathscinet
    18. Sergey Ya. Startsev, “Formal Integrals and Noether Operators of Nonlinear Hyperbolic Partial Differential Systems Admitting a Rich Set of Symmetries”, SIGMA, 13 (2017), 034, 20 pp.  mathnet  crossref
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