Approximate solutions for the skyrmion

@article{JAPonciano2001ApproximateSF,
  title={Approximate solutions for the skyrmion},
  author={J.A.Ponciano and L.N.Epele and H.Fanchiotti and C. A. Garc{\'i}a Canal},
  journal={Physical Review C},
  year={2001},
  volume={64},
  pages={045205}
}
We reconsider the Euler-Lagrange equation for the Skyrme model in the hedgehog ansatz and study the analytical properties of the solitonic solution. In view of the lack of a closed form solution to the problem, we work on approximate analytical solutions. We show that Pad\'e approximants are well suited to continue analytically the asymptotic representation obtained in terms of a power series expansion near the origin, obtaining explicit approximate solutions for the Skyrme equations. We… 
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