Solution of Coupled Linear Partial Differential Equations

Gerd Baumann
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Gerd Baumann: University of Ulm, Department of Mathematical Physics

Chapter 10 in Symmetry Analysis of Differential Equations with Mathematica®, 2000, pp 457-482 from Springer

Abstract: Abstract In this chapter, we discuss the main steps for solving systems of coupled linear partial differential equations (PDEs). Such linear PDEs are the result of the invariance conditions discussed in Chapter 5 on point symmetries, in Chapter 7 on potential symmetries, in Chapter 8 on approximate symmetries, and in Chapter 9 on generalized symmetries. Especially for these types of symmetries, the following procedures are very successful. The main topic here is the automatic derivation of solutions. This self-governed method is the basis for an efficient calculation of symmetries by computer algebra programs.

Keywords: Integrability Condition; Original Equation; Transformation Rule; Canonical Representation; Determine Equation (search for similar items in EconPapers)
Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4612-2110-4_10

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DOI: 10.1007/978-1-4612-2110-4_10

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