Open AccessEuler-Painleve transcendents, exact solutions of nonlinear PDE
Author(s) -
G. Sivagami,
R. K. Selvi,
S. Padmasekaran
Publication year - 2021
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 - 10.1088/1742-6596/1964/2/022019
Subject(s) - mathematics , euler's formula , nonlinear system , partial differential equation , invariant (physics) , mathematical analysis , differential equation , first order partial differential equation , mathematical physics , physics , quantum mechanics
In this paper, some invariant reductions and exact soluions are obtained for a nonlinear partial differential equation by Clarkson Kruskal method. The reduced ordinary differential equation is shown to convertible to Euler-Painlevé transcendents.