Several Examples of Application of the Simple Equations Method (SEsM) for Obtaining Exact Solutions of Nonlinear PDEs

2024/11/11 by Zlatinka I. Dimitrova, Dimitrova, Zlatinka I.
Mathematics · #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Fractional Differential Equations Solutions #Iterative Methods for Nonlinear Equations

paper · pdf · doi:10.48550/arxiv.2411.07333

openalex publication_date 2024/11/11 · openalex created_date 2024/11/16 · openalex updated_date 2026/07/28

Abstract

We apply the Simple Equations Method (SEsM) for obtaining exact solutions of nonlinear differential equations. We discuss several examples with goal to illustrate the results from the use of derivatives of composite functions in the algorithm of SEsM. The discussed examples contain derivatives of functions which are composite functions of solutions of two simple equations.

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