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Journal of Difference Equations and Applications Volume 15, 2009 - Issue 3
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Original Articles

Integrable semi-discretizations and full-discretization of the two-dimensional Leznov lattice

Xing-Biao Hu LSEC, Institute of Computational Mathematics and Scientific Engineering Computing, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100080, PR China
&
Guo-Fu Yu Department of Mathematics, Shanghai Jiao Tong University, Shanghai, 200240, PR ChinaCorrespondence[email protected]
Pages 233-252 | Received 27 Feb 2008, Accepted 02 Apr 2008, Published online: 17 Feb 2009

Citations (11)

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Read on this site (2)

Luc Vinet, Guo-Fu Yu & Ying-Nan Zhang. (2015) On an integrable system related to the relativistic Toda lattice – Bäcklund transformation and integrable discretization. Journal of Difference Equations and Applications 21:5, pages 403-417.
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Luc Vinet & Guo-Fu Yu. (2013) On the Discretization of the Coupled Integrable Dispersionless Equations. Journal of Nonlinear Mathematical Physics 20:1, pages 106-125.
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Articles from other publishers (9)

Han-Han Sheng, Bo-Jian Shen, Guo-Fu Yu & Ze-Lin Jin. (2024) The two-dimensional Leznov lattice equation and its various solutions. Physica D: Nonlinear Phenomena 457, pages 133958.
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Shou-Fu Tian, Jian-Min Tu, Tian-Tian Zhang & Yi-Ren Chen. (2021) Integrable discretizations and soliton solutions of an Eckhaus–Kundu equation. Applied Mathematics Letters 122, pages 107507.
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Bo-Jian Shen & Guo-Fu Yu. (2021) Matrix integral solutions to the discrete and coupled Leznov lattice equations. Journal of Mathematical Analysis and Applications 500:2, pages 125167.
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G.-F. Yu. (2015) Discrete Analogues of a Negative Order AKNS Equation. Studies in Applied Mathematics 135:2, pages 117-138.
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A S Carstea & T Tokihiro. (2015) Coupled discrete KdV equations and modular genetic networks. Journal of Physics A: Mathematical and Theoretical 48:5, pages 055205.
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YingNan Zhang, XiangKe Chang, Juan Hu, XingBiao Hu & Hon-Wah Tam. (2014) Integrable discretization of soliton equations via bilinear method and Bäcklund transformation. Science China Mathematics 58:2, pages 279-296.
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Gegenhasi  . (2015) On the Semi-Discrete Davey-Stewartson System with Self-Consistent Sources. Journal of Applied Mathematics and Physics 03:05, pages 478-487.
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Luc Vinet & Guo-Fu Yu. (2013) Discrete analogues of the generalized coupled integrable dispersionless equations. Journal of Physics A: Mathematical and Theoretical 46:17, pages 175205.
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Juan Hu, Guo-Fu Yu & Hon-Wah Tam. (2012) Commutativity of the source generation procedure and integrable semi-discretizations: the two-dimensional Leznov lattice. Journal of Physics A: Mathematical and Theoretical 45:14, pages 145208.
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