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Kvantovaya Elektronika, 1991, Volume 18, Number 10, Pages 1266–1267 (Mi qe4309)  
Laser applications and other topics in quantum electronics

New integral identity for elliptic functions

V. G. Dmitriev, D. A. Guk
Full-text PDF (486 kB)
Abstract: Analytic solutions of what are known as the reduced equations for the amplitudes and phases of oscillations and waves in nonlinear systems are used to establish a new integral identity for elliptic functions. The consequence of this identity is a new relationship between incomplete elliptic integrals of the first and third kinds.
Received: 18.06.1991
English version:
Soviet Journal of Quantum Electronics, 1991, Volume 21, Issue 10, Pages 1150–1151
DOI: https://doi.org/10.1070/QE1991v021n10ABEH004309
Bibliographic databases:
Document Type: Article
UDC: 535:678
PACS: 05.45.-a, 02.30.Rz
Language: Russian


Citation: V. G. Dmitriev, D. A. Guk, “New integral identity for elliptic functions”, Kvantovaya Elektronika, 18:10 (1991), 1266–1267 [Sov J Quantum Electron, 21:10 (1991), 1150–1151]
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    		Квантовая электроника Quantum Electronics
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