Lie Group Analysis of Nonlinear Partial Differential Equations: Lie Group Analysis of a Nonlinear Coupled System of Korteweg-de Vries Equations - Softcover

Owuor Owino, Joseph; Khalique, Chaudry Masood

 
9786203202274: Lie Group Analysis of Nonlinear Partial Differential Equations: Lie Group Analysis of a Nonlinear Coupled System of Korteweg-de Vries Equations
Softcover
ISBN 10: 6203202274 ISBN 13: 9786203202274
Verlag: LAP LAMBERT Academic Publishing, 2021

Inhaltsangabe

This book serves a strong and simple introduction to the theory of symmetry analysis. The concept of nonlinear partial differential equations is deeply looked into with the nonlinear system of coupled Korteweg-de Vries equations taken as an example. The reader is introduced to the Lie groups and Lie's criterion for computing Lie point symmetries. We also illustrate how these symmetries can be used to reduce system of partial differential equations and linearise them where possible. This helps to construct special exact solutions.We also introduce the reader to computation of conservation laws by the method of multipliers and some of ther applications of these conservation laws. In addition, the symmetries have been used to compute conservation laws by applying Ibragimov's Conservation Theorem. We have also included the physical interpretation of some of the conservation laws. It is my sincere hope that you enjoy reading the book in the same manner I enjoyed writing it.

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Über die Autorin bzw. den Autor

Joseph is a master's graduate from the University of Stellenbosch and the African Institute for Mathematical Sciences in South Africa. He has taken up  courses in Functional Analysis with Auburn University in USA and Mathematical Analysis with the International Mathematics Master. Joseph looks forward to pursuing his PhD in Analysis in Europe.

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Verlag
LAP LAMBERT Academic Publishing
Erscheinungsdatum
2021
Sprache
Englisch
ISBN 10 
6203202274
ISBN 13 
9786203202274
Einband
Taschenbuch
Anzahl der Seiten
56
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
Editions Vie
customerservice@vdm-vsg.de

Brivibas gatve 197
Riga
1039
Lettland