Paper Info

Title | ||
---|---|---|

Analytical and numerical solutions of the generalized dispersive Swift-Hohenberg equation. |

Abstract | ||
---|---|---|

The generalization of the Swift-Hohenberg equation is studied. It is shown that the equation does not pass the Kovalevskaya test and does not possess the Painlevé property. Exact solutions of the generalized Swift-Hohenberg equation which are very useful to test numerical algorithms for various boundary value problems are obtained. The numerical algorithm which is based on the Crank-Nicolson-Adams-Bashforth scheme is developed. This algorithm is tested using the exact solutions. The selforganization processes described by the generalization of the Swift-Hohenberg equation are studied. |

Year | DOI | Venue |
---|---|---|

2016 | 10.1016/j.amc.2016.04.024 | Applied Mathematics and Computation |

Keywords | Field | DocType |

Swift–Hohenberg equation,Exact solution,Logistic function method,Painlevé property,Selforganization | Exact solutions in general relativity,Boundary value problem,Mathematical optimization,Mathematical analysis,Swift–Hohenberg equation,Mathematics | Journal |

Volume | Issue | ISSN |

286 | C | 0096-3003 |

Citations | PageRank | References |

1 | 0.36 | 4 |

Authors | ||

2 |

Authors (2 rows)

Cited by (1 rows)

References (4 rows)

Name | Order | Citations | PageRank |
---|---|---|---|

Nikolay A. Kudryashov | 1 | 49 | 15.72 |

Pavel N. Ryabov | 2 | 32 | 6.19 |