Symmetry Analysis of Differential Equation with Mathematica

Symmetry Analysis of Differential Equation with Mathematica

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qSymmetry Analysis of Differential Equations with Mathematica provides a comprehensive introduction to the application of symmetry analysis to differential equations. The application of symmetries is useful in finding exact solutions and in verifying and developing numerical schemes. Symmetries also provide conservation laws for differential equations. These applications have emerged from discoveries by the mathematician Sophus Lie about combining group theory and analysis related to differential equation behavior. The applications are significant to practitioners in physics, chemistry, mathematics, and engineering.q--BOOK JACKET.Title Summary field provided by Blackwell North America, Inc. All Rights ReservedProvided this system of algebraic equations can be solved by Solve[], we can gain m solutions w^ with /3 = 1, 2, ..., m which contain ... If the determining equations are known, it may be possible to solve these equations by using an ansatz of polynomials for the characteristics. ... The manual procedure, feeding back some information on the characteristics gained by partly solving the determining equations, anbsp;...

Title:Symmetry Analysis of Differential Equation with Mathematica
Author: Gerd Baumann
Publisher:Springer Science & Business Media - 2000

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