### Abstract

A single nonlinear partial differential equation of the wave type for an axisymmetric case is obtained by the introduction of special auxiliary function. In contrast to cylindrical Korteweg-de Vries equation, new equation describes centrifugal and centripetal waves not only far from the center, but in its vicinity as well. With the use of this equation a number of specific problems on the evolution of the free surface disturbances are numerically solved for the cases of a horizontal bottom and a drowned concave. The research also demonstrates the difference between the results of calculations on the base of the complete equation and on the basis of the linearized equation.

Original language | English (US) |
---|---|

Pages (from-to) | 1414-1417 |

Number of pages | 4 |

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

Volume | 379 |

Issue number | 22-23 |

DOIs | |

State | Published - Jul 17 2015 |

### Keywords

- Axisymmetric disturbance
- Centrifugal wave
- Centripetal wave
- Interaction of disturbances
- Nonlinear wave
- Transformation of disturbance

### ASJC Scopus subject areas

- Physics and Astronomy(all)

## Fingerprint Dive into the research topics of 'Describing dynamics of nonlinear axisymmetric waves in dispersive media with new equation'. Together they form a unique fingerprint.

## Cite this

*Physics Letters, Section A: General, Atomic and Solid State Physics*,

*379*(22-23), 1414-1417. https://doi.org/10.1016/j.physleta.2015.03.010