## Abstract

We consider multisolitons with charges 1 ≤ B ≤ 5 in the baby Skyrme model for the one-parametric family of potentials U = μ^{2} (1 - _{3})^{s} with 0 < s ≤ 4. This class of potentials is a generalization of the 'old' (s = 1) and 'holomorphic' (s = 4) baby Skyrme models. We find that for charge one, stable solutions exist for every value of s and they are rotationally symmetric. For higher charges, stable solutions exist only below s ≈ 2. In the charge-two sector the stable solutions are always rotationally symmetric and ring-like. For charge three and above, rotational symmetry is exhibited only in the small s region; above a certain critical value of s, this symmetry is broken and a strong repulsion between the constituent one-Skyrmions becomes apparent. We also compute the spatial energy distributions of these solutions.

Original language | English |
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Pages (from-to) | 399-408 |

Number of pages | 10 |

Journal | Nonlinearity |

Volume | 21 |

Issue number | 3 |

DOIs | |

State | Published - 1 Mar 2008 |