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Lie Group Analysis of Nonlinear Partial Differential Equations
Paperback

Lie Group Analysis of Nonlinear Partial Differential Equations

$107.99
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This title is printed to order. This book may have been self-published. If so, we cannot guarantee the quality of the content. In the main most books will have gone through the editing process however some may not. We therefore suggest that you be aware of this before ordering this book. If in doubt check either the author or publisher’s details as we are unable to accept any returns unless they are faulty. Please contact us if you have any questions.

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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MORE INFO
Format
Paperback
Publisher
LAP Lambert Academic Publishing
Date
19 January 2021
Pages
56
ISBN
9786203202274

This title is printed to order. This book may have been self-published. If so, we cannot guarantee the quality of the content. In the main most books will have gone through the editing process however some may not. We therefore suggest that you be aware of this before ordering this book. If in doubt check either the author or publisher’s details as we are unable to accept any returns unless they are faulty. Please contact us if you have any questions.

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.

Read More
Format
Paperback
Publisher
LAP Lambert Academic Publishing
Date
19 January 2021
Pages
56
ISBN
9786203202274