Lie Symmetry Solution of Third Order Nonlinear Ordinary Differential Equation
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Keywords:
Lie groups of transformations, Lie algebras, infinitesimal transformations, extended transformations, invariance under transformations, variation symmetries, Lie theory of differential equations, reduction of order and integrating factorsAbstract
In this paper we used the method of Lie symmetry to solve and get a mathematical solution to a third order first degree nonlinear ordinary differential equation (ODE) of fourth degree in second derivative, which is common in waves of systems like water in shallow oceans because it yields exact solutions without depending on initial boundary values.
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