Similarity Solutions of the Surface Waves Equation in (2+1) Dimensions and Bifurcation

The equation of the surface waves in deep water, given here by (1), is extended to (2+1) dimensions, which is a novel equation.. It is shown that the surface waves equation is self- free source. So, it has a class of infinite solutions. Here many types of self-similar and semi-self similar solutions...

Full description

Bibliographic Details
Main Authors: Abdel-Gawad Hamdy I., Belic M. R.
Format: Article
Language:English
Published: Sciendo 2023-07-01
Series:Applied Mathematics and Nonlinear Sciences
Subjects:
Online Access:https://doi.org/10.2478/amns.2022.1.00102