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Journal of Nonlinear Mathematical Physics Volume 10, 2003 - Issue sup1: The Öresund Symposium on Partial Differential Equations
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Original Articles

On a Two-Parameter Extension of the Lattice KdV System Associated with an Elliptic Curve

Frank W Nijhoff Department of Applied Mathematics, University of Leeds, LS2 9JT, Leeds, United Kingdom E-mail: [email protected]@maths.leeds.ac.uk
&
Sian E Puttock Department of Applied Mathematics, University of Leeds, LS2 9JT, Leeds, United Kingdom E-mail: [email protected]@maths.leeds.ac.uk
Pages 107-123 | Published online: 21 Jan 2013

Citations (9)

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Read on this site (1)

Dan-dan Xu, Da-jun Zhang & Song-lin Zhao. (2014) The Sylvester equation and integrable equations: I. The Korteweg-de Vries system and sine-Gordon equation. Journal of Nonlinear Mathematical Physics 21:3, pages 382-406.
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Articles from other publishers (8)

Wei Fu & Frank W. Nijhoff. (2022) On a coupled Kadomtsev–Petviashvili system associated with an elliptic curve. Studies in Applied Mathematics 149:4, pages 1086-1122.
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Wei Fu & Frank W. Nijhoff. (2018) Linear integral equations, infinite matrices, and soliton hierarchies. Journal of Mathematical Physics 59:7.
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Ying-ying Sun, Da-jun Zhang & Frank W. Nijhoff. (2017) The Sylvester equation and the elliptic Korteweg-de Vries system. Journal of Mathematical Physics 58:3.
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Paul Jennings & Frank Nijhoff. (2014) On an elliptic extension of the Kadomtsev?Petviashvili equation. Journal of Physics A: Mathematical and Theoretical 47:5, pages 055205.
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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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Gegenhasi, Xing-Biao Hu, Decio Levi & Satoshi Tsujimoto. (2007) A difference analogue of the Davey–Stewartson system: discrete Gram-type determinant solution and Lax pair. Journal of Physics A: Mathematical and Theoretical 40:42, pages 12741-12751.
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Xing-Biao Hu & Guo-Fu Yu. (2007) Integrable discretizations of the (2+1)-dimensional sinh-Gordon equation. Journal of Physics A: Mathematical and Theoretical 40:42, pages 12645-12659.
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Decio Levi & Pavel Winternitz. (2006) Continuous symmetries of difference equations. Journal of Physics A: Mathematical and General 39:2, pages R1-R63.
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