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Perturbation Solutions of Fourth Order More Critically Damped Nonlinear Systems with Four Equal Eigenvalues using the Unified KBM Method

Md. Firoj Alam, Md. Mahafujur Rahaman, M. Abul Kawser


In this article, analytical approximate solutions of fourth order more critically damped nonlinear differential systems have been studied by applying the modified Krylov-Bogoliubov-Mitropolskii (KBM) method. Further, a fourth order more critically damped nonlinear system has been considered in the event of four equal eigenvalues. In this paper, it has been suggested that the solutions obtained by the modified KBM method conform to those obtained by the numerical method. The method has been described by means of an example.


KBM method, more critically damped system, analytical approximate solution, nonlinearity, eigenvalues.

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