### Abstract

We obtain solitary wave and other solutions to the Zakharov-Kuznetsov equation governed by dual-power-law nonlinearity. The travelling-wave hypothesis is applied to obtain the 1-soliton solution and the solution in series method reveals topological soliton solutions. Constraint conditions are identified in all these methods.

Original language | English |
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Pages (from-to) | 137-143 |

Number of pages | 7 |

Journal | Proceedings of the Romanian Academy Series A - Mathematics Physics Technical Sciences Information Science |

Volume | 17 |

Issue number | 2 |

Publication status | Published - Apr 1 2016 |

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### Keywords

- Integrability
- Solitons
- Solution in series method
- Travelling-wave

### ASJC Scopus subject areas

- Mathematics(all)
- Engineering(all)
- Physics and Astronomy(all)
- Computer Science(all)