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Journal of Nonlinear Mathematical Physics Volume 12, 2005 - Issue sup2: Symmetries and Integrability of Difference Equations SIDE VI
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Original Articles

The Relation between a 2D Lotka-Volterra equation and a 2D Toda Lattice

Claire R Gilson Department of Mathematics, University of Glasgow, G12 8QW, Glasgow, UK
&
Jonathan J C Nimmo Department of Mathematics, University of Glasgow, G12 8QW, Glasgow, UK
Pages 169-179 | Published online: 21 Jan 2013

Citations (9)

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Ghodrat Ebadi, A.H. Kara, Marko D. Petković & Anjan Biswas. (2011) Soliton solutions and conservation laws of the Gilson–Pickering equation. Waves in Random and Complex Media 21:2, pages 378-385.
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Articles from other publishers (8)

Shi-Hao Li, Bo-Jian Shen, Jie Xiang & Guo-Fu Yu. (2023) Multiple Skew-Orthogonal Polynomials and 2-Component Pfaff Lattice Hierarchy. Annales Henri Poincaré.
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Cleonice F. Bracciali & Teresa E. Pérez. (2017) Bivariate orthogonal polynomials, 2D Toda lattices and Lax-type pairs. Applied Mathematics and Computation 309, pages 142-155.
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V. G. Marikhin. (2017) Three-dimensional lattice of Bäcklund transformations of integrable cases of the Davey–Stewartson system. Theoretical and Mathematical Physics 189:3, pages 1718-1725.
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Владимир Георгиевич Марихин & Vladimir Georgievich Marikhin. (2016) Трехмерная решетка преобразований Беклунда интегрируемых случаев системы Дэви - СтюартсонаThree-dimensional lattice of Bäcklund transformations of integrable cases of the Davey - Stewartson system. Теоретическая и математическая физика Teoreticheskaya i Matematicheskaya Fizika 189:3, pages 362-370.
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Qiu-Lan Zhao, Xin-Yue Li & Fa-Sheng Liu. (2013) Two integrable lattice hierarchies and their respective Darboux transformations. Applied Mathematics and Computation 219:10, pages 5693-5705.
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V.E. Adler & V.V. Postnikov. (2011) Linear problems and Bäcklund transformations for the Hirota–Ohta system. Physics Letters A 375:3, pages 468-473.
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Adam Doliwa & Maciej Nieszporski. (2009) Darboux transformations for linear operators on two-dimensional regular lattices. Journal of Physics A: Mathematical and Theoretical 42:45, pages 454001.
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P. M. Santini, A. Doliwa & M. Nieszporski. (2008) Integrable dynamics of Toda type on square and triangular lattices. Physical Review E 77:5.
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