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The C-(symmetric) quadrilateral lattice, its transformations and the algebro-geometric construction

  • Published:2010-05 Issue:5 Volume:60 Page:690-707
  • ISSN:0393-0440
  • Container-title:Journal of Geometry and Physics
  • language:en
  • Short-container-title:Journal of Geometry and Physics

Author:

Doliwa Adam

Publisher

Elsevier BV

Subject

Geometry and Topology,General Physics and Astronomy,Mathematical Physics

Reference34 articles.

1. Soliton surfaces and their applications;Sym,1985

2. Bäcklund and Darboux transformations;Rogers,2002

3. Darboux transformations in integrable systems;Gu,2005

4. Integrable systems and discrete geometry;Doliwa,2006

5. Multidimensional quadrilateral lattices are integrable;Doliwa;Phys. Lett. A,1997

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1. B\"{a}cklund transformations as integrable discretization. The geometric approach;Open Communications in Nonlinear Mathematical Physics;2024-02-15

2. Discrete Darboux system with self-consistent sources and its symmetric reduction;Journal of Physics A: Mathematical and Theoretical;2021-01-18

3. On non-autonomous differential-difference AKP, BKP and CKP equations;Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences;2021-01

4. A lattice CKP equation expressed by theτfunction;Applied Mathematics Letters;2020-05

5. Direct linearizing transform for three-dimensional discrete integrable systems: the lattice AKP, BKP and CKP equations;Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences;2017-07
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