The modified simplest equation method to look for exact solutions of nonlinear partial differential equations

2010/11/20 by Olga Yu. Efimova, Efimova, Olga Yu.
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Nonlinear Photonic Systems #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.1011.4606

openalex publication_date 2010/11/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The modification of simplest equation method to look for exact solutions of nonlinear partial differential equations is presented. Using this method we obtain exact solutions of generalized Korteweg-de Vries equation with cubic source and exact solutions of third-order Kudryashov-Sinelshchikov equation describing nonlinear waves in liquids with gas bubbles.

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