Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Symmetry Analysis of Surfactant Driven Thin Liquid Film Equations   Spreading of liquid thin film driven by surfactant due to the Marangoni
effect is described using a coupled system of second-order partial differential
equations. Lie group of transformation are used to obtain the symmetries of the
given system of partial differential equations. The symmetries are then used to
arrive at a semi-analytic solution of the system. Furthermore, a vector field
analysis of the obtained solution is performed to provide additional insights
into the problem. The obtained results demonstrate that the surfactant
concentration drives the fluid, and thereby the fluid thins faster.

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The categories of this paper are: funct-an
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The categories of this paper are: hep-th
31
The categories of this paper are: ao-sci
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The categories of this paper are: dg-ga
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The categories of this paper are: nucl-th
14
The categories of this paper are: math-ph
32
The categories of this paper are: atom-ph
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The categories of this paper are: q-alg
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The categories of this paper are: mtrl-th
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The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
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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: quant-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: chao-dyn