Abstract
Pseudo-division algorithm for matrix multivariable polynomial are given, thereby with the view of differential algebra, the sufficient and necessary conditions for transforming a class of partial differential equations into infinite dimensional Hamiltonianian system and its concrete form are obtained. Then by combining this method with Wu's method, a new method of constructing general solution of a class of mechanical equations is got, which several examples show very effective.
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CLC number: 0175.25
Document code: A
Paper from Zhong Wanxie, Member of Editorial Committee, AMM
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Alatancang, Hongqing, Z. & Wanxie, Z. Pseudo-division algorithm for matrix multivariable polynomial and its application. Appl Math Mech 21, 733–740 (2000). https://doi.org/10.1007/BF02428369
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DOI: https://doi.org/10.1007/BF02428369