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Aperta - TÜBİTAK Açık Arşivi
Other literature type . 2011
License: CC BY
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zbMATH Open
Article . 2011
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Journal of Mathematical Physics
Article . 2011 . Peer-reviewed
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https://dx.doi.org/10.48550/ar...
Article . 2011
License: arXiv Non-Exclusive Distribution
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Discretization of hyperbolic type Darboux integrable equations preserving integrability

Authors: Habibullin, I.; Zheltukhina, N.; Sakieva, A.;

Discretization of hyperbolic type Darboux integrable equations preserving integrability

Abstract

A method of integrable discretization of the Liouville type nonlinear partial differential equations based on integrals is suggested. New examples of the discrete Liouville type models are presented.

Country
Turkey
Keywords

Nonlinear Sciences - Exactly Solvable and Integrable Systems, Chains, FOS: Physical sciences, Liouville Equation, Nonlinear equations, Liouville equation, Partial Differential Equations Discrete, Partial differential equations discrete, Discrete version of topics in analysis, Exactly Solvable and Integrable Systems (nlin.SI), Nonlinear Equations, Second-order nonlinear hyperbolic equations

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    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    Average
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
14
Top 10%
Top 10%
Average
Green
bronze