Abstract
A technique for extending the Laplace transform method to solve nonlinear differential equations is presented. By developing several theorems, which incorporate the Adomian polynomials, the Laplace transformation of nonlinear expressions is made possible. A number of well-known nonlinear equations including the Riccati equation, Clairaut's equation, the Blasius equation and several other ones involving nonlinearities of various types such as exponential and sinusoidal are solved for illustration. The proposed approach is analytical, accurate, and free of integration.
Acknowledgements
We (H.F. and H.A) are obliged to the editor and anonymous reviewers of the IJCM for their valuable comments which helped us improve the quality of the initial draft of this article.
Disclosure statement
No potential conflict of interest was reported by the authors.