Exact solutions of a fifth - order Korteweg–de Vries –type equation modeling nonlinear long waves in several natural phenomena

In this study we discuss existence of solitary wave solutions of a famous higher-order model evolution equation arising from the water wave theory. This evolution equation describes several nonlinear natural phenomena such as propagation of long waves in shallow water over a flat surface or propagat...

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Bibliographic Details
Main Authors: Nikolova, Elena V., Chilikova-Lubomirova, Mila, Vitanov, Nikolay K.
Format: Conference Proceeding
Language:English
Subjects:
Capillary waves
Evolution
Exact solutions
Flat surfaces
Mathematical models
Shallow water
Solitary waves
Water waves
Wave propagation
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Summary:In this study we discuss existence of solitary wave solutions of a famous higher-order model evolution equation arising from the water wave theory. This evolution equation describes several nonlinear natural phenomena such as propagation of long waves in shallow water over a flat surface or propagation of long gravity-capillary waves. We obtain several exact analytical solutions of this equation by applying a particular case of the Simplest Equations Method (SEsM).Numerical simulations of the obtained solutions include various kinds of solitary waves depending on a key model parameter.
ISSN:0094-243X
1551-7616
DOI:10.1063/5.0040089