Topic
Elliptic coordinate system
About: Elliptic coordinate system is a research topic. Over the lifetime, 670 publications have been published within this topic receiving 11135 citations. The topic is also known as: elliptical coordinate system & elliptic coordinates.
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TL;DR: In this paper, the intramolecular force fields of nitrogen trichloride have been determined using the recent experimental data on the vibrational frequencies, and three different methods have been used for the evaluation of force constants.
Abstract: Abstract The intramolecular force fields of nitrogen trichloride have been determined using the recent experimental data on the vibrational frequencies. Three different methods have been used for the evaluation of force constants. The results ob-tained are quite consistent
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01 Jan 1996
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01 Nov 2013
TL;DR: In this article, the authors present a survey of the literature in this area: https://www.referred.org.au/blog/blogging-and-blogging/
Abstract: Introduction Conclusions References
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TL;DR: By means of the double Laplace-Carson transform as integral averaging of the time function decreasing by the exponential law with weight and along a semi-bounded pipe, the nonstationary heat transfer equation under steady-state laminar or turbulent flow conditions is transformed into a boundary-value problem, which is solved by the method of orthogonal projection of the residual, where, as a finite element, the entire bounded domain of variation of elliptic coordinates is taken as mentioned in this paper.
Abstract: By means of the double Laplace–Carson transform as integral averaging of the time function decreasing by the exponential law with weight and along a semi-bounded pipe, the nonstationary heat transfer equation under steady-state laminar or turbulent flow conditions is transformed into a boundary-value problem, which is solved by the method of orthogonal projection of the residual, where, as a finite element, the entire bounded domain of variation of elliptic coordinates is taken.
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TL;DR: In this paper, the Korteweg-de Vries soliton hierarchy is decomposed into a family of finite-dimensional Hamiltonian systems, whose Liouville integrability is proved by means of the elliptic coordinates.
Abstract: Based on the nonlinearization of Lax pairs, the Korteweg-de Vries (KdV) soliton hierarchy is decomposed into a family of finite-dimensional Hamiltonian systems, whose Liouville integrability is proved by means of the elliptic coordinates. By applying the Abel–Jacobi coordinates on a Riemann surface of hyperelliptic curve, the resulting Hamiltonian flows as well as the KdV soliton hierarchy are ultimately reduced into linear superpositions, expressed by the Abel–Jacobi variables.