The Klein-Gordon Equation and Differential Substitutions of the Form v=φ(u,ux,uy)

Домашня сторінка
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Фізико-технічні та математичні науки
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Відділення математики
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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2012, том 8
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Symmetry, Integrability and Geometry: Methods and Applications, 2012, том 8, випуск за цей рік
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The Klein-Gordon Equation and Differential Substitutions of the Form v=φ(u,ux,uy)

Kuznetsova, M.N. ; Pekcan, A. ; Zhiber, A.V.

Інший ID: 2010 Mathematics Subject Classification: 35L70
DOI: http://dx.doi.org/10.3842/SIGMA.2012.090

URI: http://dspace.nbuv.gov.ua/handle/123456789/148676

Посилання: The Klein-Gordon Equation and Differential Substitutions of the Form v=φ(u,ux,uy) / M.N. Kuznetsova, A. Pekcan, A.V. Zhiber // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 20 назв. — англ.

Підтримка: This paper is a contribution to the Special Issue “Symmetries of Dif ferential Equations: Frames, Invariants and Applications”. The full collection is available at http://www.emis.de/journals/SIGMA/SDE2012.html. This work is partially supported by the Russian Foundation for Basic Research (RFBR) (Grants 11-01-97005-Povolj’ie-a, 12-01-31208 mol-a).

Дата: 2012

Завантажень: 235

The Klein-Gordon Equation and Differential Substitutions of the Form v=φ(u,ux,uy)

Анотація:

We present the complete classification of equations of the form uxy=f(u,ux,uy) and the Klein-Gordon equations vxy=F(v) connected with one another by differential substitutions v=φ(u,ux,uy) such that φuxφuy≠0 over the ring of complex-valued variables.

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