Weierstrass type projective Riccati equation expansion method and solutions of KdV equation
Exactly Solvable and Integrable Systems
2022-05-13 v1 Mathematical Physics
math.MP
Abstract
This paper presents two new Weierstrass elliptic function solutions of the projective Riccati equations and four conversion formulas for converting the Weierstrass elliptic functions to the hyperbolic and trigonometric functions. The Weierstrass elliptic function solutions to the projective Riccati equations and the conversion formulas are used to propose the called Weierstrass type projective Riccati equation expansion method. The Weierstrass elliptic function solutions, the solitary wave and the periodic wave solutions of the KdV equation are constructed by using the proposed method. The solitary wave like and the periodic wave solutions of the KdV equation are shown through some figures.
Keywords
Cite
@article{arxiv.2205.05766,
title = {Weierstrass type projective Riccati equation expansion method and solutions of KdV equation},
author = {Sirendaoreji},
journal= {arXiv preprint arXiv:2205.05766},
year = {2022}
}
Comments
11pages,8figures