A Lie Symmetry Solutions of Sawada-Kotera Equation
Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2019, Vol 17, Issue 0
Abstract
In this article, the Lie Symmetry Analysis is applied in finding the symmetry solutions of the fifth order Sawada-Kotera equation. The technique is among the most powerful approaches currently used to achieveprecise solutions of the partial differential equations that are nonlinear. We systematically show the procedure to obtain the solution which is achieved by developing infinitesimal transformation, prolongations, infinitesimal generatorsand invariant transformations hence symmetry solutions of the fifth order Sawada-Kotera equation. Key Words- Lie symmetry analysis. Sawada-Kotera equation. Symmetry groups. Prolongations. Invariant solutions. Power series solutions. Symmetry solutions.
Authors and Affiliations
Winny Chepngetich Bor, Owino M. Oduor, John K. Rotich
Keywords
Related Articles
- EP ID EP651786
- DOI 10.24297/jam.v17i0.8364
- Views 158
- Downloads 0
Extension of Eulerian Graphs and Digraphs
In this paper the concept of extensibility number has been studied. The Eulerian graphs(digraphs) which have extensibility number 1, 2 or 3 have been characterized.
Two Inequalities and Two Means
The paper presents geometric derivations of Jensen's and Hermite-Hadamard's inequality.Jensen's inequality is further involved to a concept of quasi-arithmetic means. Hermite-Hadamard's inequality is applied to compare t...
On the growth of system of entire homogenous polynomials of several complex variables
In this paper we study the growth of entire functions represented by homogenous polynomials of two complex variables. The characterizations of their order and type have been obtained
A paradigm shift in mathematical physics, Part 4: Quantum computers and the local realism of all 4 Bell states
Can quantum information systems be understood using local realism? The consensus is No. Quantum information is based on qubits and Bell states. According to conventional wisdom these cannot be understood using local real...
DYNAMICAL CHAOS IN 6 ï† -RAYLEIGH OSCILLATOR WITH THREE WELLS DRIVEN AN AMPLITUDE MODULATED FORCE.
Chaotic behavior of6 ï† -Rayleigh oscillator with three wells is investigated. The method of multiple scale method is usedto solve the system up to 3rd order approximation. Effect of parameters is studied numerically; a...