退缩 发表于 2025-3-21 16:04:16
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Ordinary Differential Equations,In this chapter we apply infinitesimal transformations (Lie groups of transformations) to the study of an nth order ordinary differential equation (ODE) written in a solved form . where . ODE (3.1) defines a surface in (.,.,.,...,.)-space.新义 发表于 2025-3-22 01:34:31
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Applied Mathematical Scienceshttp://image.papertrans.cn/t/image/883903.jpgnerve-sparing 发表于 2025-3-22 11:50:54
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,Noether’s Theorem and Lie-Bäcklund Symmetries,s to solve differential equations using such symmetries. In this chapter we study one of the most important applications of symmetries to physical problems, namely, the construction of conservation laws.被告 发表于 2025-3-23 04:56:54
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Book 19891st editionpringer-Verlag, 1974, by the first author and J.D. Cole. The present book also includes a thorough and comprehensive treatment of Lie groups of tranformations and their various uses for solving ordinary and partial differential equations. No knowledge of group theory is assumed. Emphasis is placed o