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## Details

Additional Physical Format: | Online version: Kodama, Yuji (Mathematics professor), author. Solitons in two-dimensional shallow water Philadelphia : Society for Industrial and Applied Mathematics, [2018] (DLC) 2018047419 |
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Document Type: | Book |

All Authors / Contributors: |
Yuji Kodama, (Mathematics professor) |

ISBN: | 9781611975512 1611975514 |

OCLC Number: | 1056202929 |

Description: | xiii, 252 pages : illustrations ; 26 cm. |

Contents: | Basic equations for shallow water waves -- Introduction to the KP theory and the t-function -- The real Grassmannians and their parametrizations -- Classification of the KP solitons -- Soliton graphs -- Stability and numerical simulations -- The inverse problem -- The Mach reflection : the Miles theory and the higher order KP theory. |

Series Title: | CBMS-NSF regional conference series in applied mathematics, 92. |

Other Titles: | Solitons in 2-dimensional shallow water |

Responsibility: | Yuji Kodama. |

### Abstract:

Uses modern mathematical tools - algebraic geometry, algebraic combinatorics, and representation theory, among others - to analyse two-dimensional wave patterns. The author's goal is to explain some details of the classification problem of the soliton solutions of the KP equation (or KP solitons) and their applications to shallow water waves.
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