Discussion on exp-function method and modified method of simplest equation

2013/03/01 by Zlatinka I. Dimitrova, Dimitrova, Zlatinka I.
Earth and Planetary Sciences · Engineering · Physics and Astronomy · #Coastal and Marine Dynamics #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Ocean Waves and Remote Sensing #Wave and Wind Energy Systems #nlin.SI

paper · pdf · doi:10.48550/arxiv.1303.0122

8 pages, no figures. arXiv admin note: text overlap with arXiv:1208.5465 by other authors

arxiv created 2013/03/01 · openalex publication_date 2013/03/01 · arxiv updated 2013/03/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We discuss the relation between the modified method of simplest equation and the exp-function method. First on the basis of our experience from the application of the method of simplest equation we generalize the exp-function ansatz. Then we apply the ansatz for obtaining exact solutions for members of a class of nonlinear PDEs which contains as particular cases several nonlinear PDEs that model the propagation of water waves.

Citations

• On Nonlinear Waves in the Spatio-Temporal Dynamics of Interacting Populations

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