capable of being integrated, as a mathematical function or differential equation
Derived forms
integrability
noun
Word origin
[1720–30; integr(ate) + -able]This word is first recorded in the period 1720–30. Other words that entered Englishat around the same time include: catchword, fantail, joker, personify, stylus-able is a suffix meaning “capable of, susceptible of, fit for, tending to, given to,”associated in meaning with the word able, occurring in loanwords from Latin (laudable); used in English as a highly productive suffix to form adjectives by addition tostems of any origin (teachable; photographable)
Examples of 'integrable' in a sentence
integrable
It enriches the content of the integrable couplings of hierarchies with self-consistent sources.
Hongwei Yang, Huanhe Dong, Baoshu Yin, Zhenyu Liu 2012, 'Nonlinear Bi-Integrable Couplings of Multicomponent Guo Hierarchy with Self-ConsistentSources', Advances in Mathematical Physicshttp://dx.doi.org/10.1155/2012/272904. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
This suggests that the model may have an integrable spin-chain interpretation.
A. Dei, A. Sfondrini 2019, 'Integrable S matrix, mirror TBA and spectrum for the stringy AdS3 × S3 × S3 × S1 WZWmodel', Journal of High Energy Physicshttp://link.springer.com/article/10.1007/JHEP02(2019)072. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
These deformations are integrable systems that can have various dynamical properties.
Cristian Lăzureanu, Camelia Petrişor 2018, 'Stability and Energy-Casimir Mapping for Integrable Deformations of the Kermack-McKendrickSystem', Advances in Mathematical Physicshttp://dx.doi.org/10.1155/2018/5398768. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
Integrable defect perturbations are identified in conformal defect perturbation theory.
Zoltán Bajnok, László Holló, Gerard Watts 2014, 'Defect scaling Lee–Yang model from the perturbed DCFT point of view', Nuclear Physics Bhttp://www.sciencedirect.com/science/article/pii/S0550321314002028. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
We find large integrable sector of multisoliton solutions in this model.
Fitkevich Maxim 2016, 'Signatures of chaos and non-integrability in two-dimensional gravity with dynamicalboundary', EPJ Web of Conferenceshttp://dx.doi.org/10.1051/epjconf/201612505004. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
In special cases we identify interesting integrable theories saturating these bounds.
Miguel F. Paulos, Joao Penedones, Jonathan Toledo, Balt C. van Rees, Pedro Vieira 2017, 'The S-matrix bootstrap II: two dimensional amplitudes', Journal of High Energy Physicshttp://link.springer.com/article/10.1007/JHEP11(2017)143. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
We consider the algebraic setting of classical defects in discrete and continuous integrable theories.
Anastasia Doikou 2016, 'Classical integrable defects as quasi Bäcklund transformations', Nuclear Physics Bhttp://www.sciencedirect.com/science/article/pii/S0550321316302255. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
This ‘mixed flux' background has been recently proved to be classically integrable.
Aritra Banerjee, Sagar Biswas, Kamal L. Panigrahi 2018, 'On multi-spin classical strings with NS-NS flux', Journal of High Energy Physicshttp://link.springer.com/article/10.1007/JHEP08(2018)053. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)