## Abstract

We study a quintic dispersive equation _{ut}=[a^{u2}+b(u_{uxx}+βux2)+c(u_{u4x}+2_{q1}_{ux}_{u3x}+_{q2}uxx2)]x and show that if β=_{q1}=-_{q2}, it may be cast into _{vt}=[v_{Lω}u]x, where v=^{uω}, ω=2β+1 and _{Lω} is a fourth order linear operator. This enables to construct traveling patterns via superposition of solutions. A plethora of bell-shaped, multi-humped and asymmetric compacton, is found. Their interaction ranges from being almost elastic to a noisy one, including fusion of bell-shaped compactons and anti-compactons into robust asymmetric structures. A stationary, zero-mass, doublet-like compacton is found to be an attractor of topologically similar, zero-mass, excitations.

Original language | English |
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Pages (from-to) | 135-141 |

Number of pages | 7 |

Journal | Physics Letters, Section A: General, Atomic and Solid State Physics |

Volume | 380 |

Issue number | 1-2 |

DOIs | |

State | Published - 8 Jan 2016 |

## Keywords

- Compactons
- Exact linearization,
- Interaction
- Quintic dispersive waves
- Solitons
- Volterra-Lotke system