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Published **1982**
by Academic Press in New York .

Written in English

- Differential equations, Partial.,
- Bäcklund transformations.,
- Jet bundles (Mathematics),
- Mathematical physics.

**Edition Notes**

Includes bibliographical references and indexes.

Statement | C. Rogers and W.F. Shadwick. |

Series | Mathematics in science and engineering ;, v. 161 |

Contributions | Shadwick, W. F., 1951- |

Classifications | |
---|---|

LC Classifications | QA374 .R64 1982 |

The Physical Object | |

Pagination | xiii, 334 p. : |

Number of Pages | 334 |

ID Numbers | |

Open Library | OL3782576M |

ISBN 10 | 0125928505 |

LC Control Number | 81022783 |

Purchase Ba?cklund Transformations and Their Applications, Volume - 1st Edition. Print Book & E-Book. ISBN , Book Edition: 1. COVID Resources. Reliable information about the coronavirus (COVID) is available from the World Health Organization (current situation, international travel).Numerous and frequently-updated resource results are available from this ’s WebJunction has pulled together information and resources to assist library staff as they consider how to handle coronavirus. Chapter Routing in Waste Collection Applications Modeling, Simulation, and Optimization of Traffic Flow Networks Addendum: A Lower Bound for the Convergence Rate in the Central Limit TheoremAuthor: K. K. Lee. This book is devoted to a classical topic that has undergone rapid and fruitful development over the past 25 years, namely Backlund and Darboux transformations and their applications in the theory of integrable systems, also known as soliton theory. The book .

Theory of Probability & Its Applications. Browse TVP; FAQ; E-books. Browse e-books; Series Descriptions; Book Program E-book Licensing Agreement; Interactive Features. Journal / E-book / Proceedings TOC Alerts; Facebook; Twitter; YouTube; Journal Citations; Contact Us. Feedback; SIAM Website Backlund Transformations and Their. Backlund Transformations, the Inverse Scattering Method, Solitons, and Their Applications: NSF Research Workshop on Contact Transformations | Miura R. M. | download | B–OK. Download books for free. Find books. Bäcklund transforms have their origins in differential geometry: the first nontrivial example is the transformation of pseudospherical surfaces introduced by L. Bianchi and A.V. Bäcklund in the s. This is a geometrical construction of a new pseudospherical surface from an initial such surface using a solution of a linear differential equation. This book describes the remarkable connections that exist between the classical differential geometry of surfaces and modern soliton theory. The authors also explore the extensive body of literature from the nineteenth and early twentieth centuries by such eminent geometers as Bianchi, Darboux, Bäcklund, and Eisenhart on transformations of privileged classes of surfaces which leave key Reviews: 1.

Backlund and Darboux Transformations: The Geometry of Solitons Aarms-Crm Workshop, A. A. Coley This book is devoted to a classical topic that has undergone rapid and fruitful development over the past 25 years, namely Backlund and Darboux transformations and their applications in the theory of integrable systems, also known as soliton theory. This book is devoted to a classical topic that has undergone rapid and fruitful development over the past 25 years, namely Bäcklund and Darboux transformations and their applications in the theory of integrable systems, also known as soliton theory. The book consists of two parts. The method of obtaining Backlund transformations proposed by Chern and Tenenblat fits completely the approach of obtaining Backlund transformations by prolonga- tion techniques. For Kdv, MKdV and sine-Gordon equations the only difference consists in the application of a non-linear representation of the prolongation algebra other than. Prominent amongst these are Backlund-Darboux transformations with their remarkable associated nonlinear superposition principles and importance in soliton theory. It is with these transformations and the links they afford between the classical differential geometry of surfaces and the nonlinear equations of soliton theory that the present text.

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