Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Symbolic Solutions of Simultaneous First-order PDEs in One Unknown   We propose and implement an algorithm for solving an overdetermined system of
partial differential equations in one unknown. Our approach relies on
Bour-Mayer method to determine compatibility conditions via Jacobi-Mayer
brackets. We solve compatible systems recursively by imitating what one would
do with pen and paper: Solve one equation, substitute the solution into the
remaining equations and iterate the process until the equations of the system
are exhausted. The method we employ for assessing the consistency of the
underlying system differs from the traditional use of differential Gr\"obner
bases yet seems more efficient and straightforward to implement. We are not
aware of a computer algebra system that adopts the procedure we advocate in
this work.

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The categories of this paper are: stat
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The categories of this paper are: eess
4
The categories of this paper are: cond-mat
0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an
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The categories of this paper are: dg-ga
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The categories of this paper are: q-alg
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The categories of this paper are: econ
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The categories of this paper are: solv-int
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The categories of this paper are: gr-qc
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-ex
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The categories of this paper are: q-fin
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The categories of this paper are: nlin
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The categories of this paper are: cmp-lg
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The categories of this paper are: plasm-ph