scientific article; zbMATH DE number 524287

zbMath0790.34007MaRDI QIDQ4284775

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Publication date: 24 March 1994

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zbMATH Keywords

Lie symmetry groupsLie's infinitesimal methodpoint symmetry groupdifferential analogue of Buchberger's algorithmgroup of invertible transformations

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Local Lie groups (22E05)

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Gröbner bases and involutive methods for algebraic and differential equations, Review of symbolic software for Lie symmetry analysis, Exact solutions of Burgers equation with moving boundary, New classification techniques for ordinary differential equations, On Asymptotic Nonlocal Symmetry of Nonlinear Schrödinger Equations

Uses Software

• SYMMGRP.MAX