Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Symmetries and Integrability of Modified Camassa-Holm Equation with an
  Arbitrary Parameter   We study the symmetry and integrability of a modified Camassa-Holm Equation
(MCH), with an arbitrary parameter $k,$ of the form
$$u_{t}+k(u-u_{xx})^2u_{x}-u_{xxt}+(u^{2}-{u_{x}}^2)(u_{x}-u_{xxx})=0.$$ By
using Lie point symmetries we reduce the order of the above equation and also
we obtain interesting novel solutions for the reduced ordinary differential
equations. Finally we apply the Painlev\'e Test to the resultant nonlinear
ordinary differential equation.

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The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
14
The categories of this paper are: math-ph
37
The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph
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The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
23
The categories of this paper are: solv-int
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The categories of this paper are: eess
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The categories of this paper are: adap-org
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The categories of this paper are: econ
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The categories of this paper are: nucl-ex