Kumar, Sachin2019-03-262024-08-132019-03-262024-08-132018Kumar, Sachin (2018) Invariants of Generalized Fifth Order Non-Linear Partial Differential Equation. Nonlinear Systems: Modeling, Estimation, and Stability. 978-1-78923-405-3, PP.145-156. 10.5772/intechopen.78362978-1-78923-405-310.5772/intechopen.78362https://kr.cup.edu.in/handle/32116/2231The fifth order non-linear partial differential equation in generalized form is analyzed for Lie symmetries. The classical Lie group method is performed to derive similarity variables of this equation and the ordinary differential equations (ODEs) are deduced. These ordinary differential equations are further studied and some exact solutions are obtained.enGeneralized fifth order non-linear partial differential equationLie symmetriesExact solutionsBook Chapterhttps://www.intechopen.com/books/nonlinear-systems-modeling-estimation-and-stability/invariants-of-generalized-fifth-order-non-linear-partial-differential-equation