On the discretization of Laine equations

Date

2018-01-01

Author

Zheltukhın, Kostyantyn

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We consider the discretization of Darboux integrable equations. For each of the integrals of a Laine equation we constructed either a semi-discrete equation which has that integral as an n-integral, or we proved that such an equation does not exist. It is also shown that all constructed semi-discrete equations are Darboux integrable.

Subject Keywords

Semi-discrete chain, Darboux integrability, x-integral, n-integral, Discretization

URI

https://hdl.handle.net/11511/54450

Journal

JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS

Collections

Department of Mathematics, Article

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Citation Formats

K. Zheltukhın, “On the discretization of Laine equations,” JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, pp. 166–177, 2018, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/54450.