Lie Group Analysis of Nonlinear Partial Differential Equations

Lie Group Analysis of Nonlinear Partial Differential Equations

Lie Group Analysis of a Nonlinear Coupled System of Korteweg-de Vries Equations

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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 ...