### 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 |
---|---|

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 |

### Fingerprint

### Keywords

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

### ASJC Scopus subject areas

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

### Cite this

**Solitons and shock waves to Zakharov-Kuznetsov equation with dual-power-law nonlinearity in Plasmas.** / Krishnan, E. V.; Zhou, Qin; Biswas, Anjan.

Research output: Contribution to journal › Article

*Proceedings of the Romanian Academy Series A - Mathematics Physics Technical Sciences Information Science*, vol. 17, no. 2, pp. 137-143.

}

TY - JOUR

T1 - Solitons and shock waves to Zakharov-Kuznetsov equation with dual-power-law nonlinearity in Plasmas

AU - Krishnan, E. V.

AU - Zhou, Qin

AU - Biswas, Anjan

PY - 2016/4/1

Y1 - 2016/4/1

N2 - 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.

AB - 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.

KW - Integrability

KW - Solitons

KW - Solution in series method

KW - Travelling-wave

UR - http://www.scopus.com/inward/record.url?scp=84976294119&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84976294119&partnerID=8YFLogxK

M3 - Article

VL - 17

SP - 137

EP - 143

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

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

SN - 1454-9069

IS - 2

ER -