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Teoreticheskaya i Matematicheskaya Fizika, 1982, Volume 52, Number 3, Pages 384–392
(Mi tmf2562)
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This article is cited in 2 scientific papers (total in 2 papers)
Solution of Chew–Low equations in the quadratic approximation
V. P. Gerdt, A. Yu. Zharkov
Abstract:
The second-order power contributions are found in the framework of the iterative scheme of construction of the general Chew–Low equation [1] proposed by Gerdt [2]. In contrast to the linear approximation obtained by Gerdt, the quadratic approximation has an infinite number of poles in the complex plane of the uniformizing variable $w$. It is shown that allowance for the quadratic corrections in the general solution makes it possible to distinguish the class of solutions possessing the required Born pole at the point $w=0$. The most cumbersome part of the analytic computations in the present study was done on a computer using the algebraic system REDUCE-2.
Received: 09.07.1981
Citation:
V. P. Gerdt, A. Yu. Zharkov, “Solution of Chew–Low equations in the quadratic approximation”, TMF, 52:3 (1982), 384–392; Theoret. and Math. Phys., 52:3 (1982), 868–874
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https://www.mathnet.ru/eng/tmf2562 https://www.mathnet.ru/eng/tmf/v52/i3/p384
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Abstract page: | 406 | Full-text PDF : | 133 | References: | 63 | First page: | 1 |
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