Exact Linearization and Invariant Solutions of the Generalized Burgers Equation with Linear Damping and Variable Viscosity |
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| Authors: | B Mayil Vaganan M Senthil Kumaran |
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| Institution: | Madurai Kamaraj University K. L. N. College of Engineering |
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| Abstract: | The generalized Burgers equation with linear damping and variable viscosity is subjected to Lie's classical method. Five distinct expressions for the variable viscosity are identified. Both the reduced ordinary differential equations and their corresponding Euler-Painlevé transcendents admit first integrals in the form of Bernoulli's equation and are linearized to obtain solutions in closed form. |
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