Open AccessFirst Integral Method for Constructing New Exact Solutions of The important Nonlinear Evolution Equations in Physics
Author(s) -
Faeza Lafta Hasan
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1530/1/012109
Subject(s) - maple , nonlinear system , partial differential equation , traveling wave , differential equation , mathematics , ordinary differential equation , commutative property , algebra over a field , mathematical analysis , physics , pure mathematics , quantum mechanics , botany , biology
In this paper, some new exact solutions of the important nonlinear partial differential equations in physics as Gardener’s equation and Sharma-Tasso-Over equation are formally derived by utilizing the first integral method, where it is equipment us with many exact solutions by using the travelling wave transform, then deduce a system of ordinary differential equations which is solved by depending on theorem in commutative algebra and with helping the mathematical software like Maple and Wolfram Mathematica.