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
Radius of Strong Starlikeness for Some Classes of Analytic Functions
Let φ(z) be an analytic function with positive real part on ∆ ={z; |z| < 1} with φ(0) = 1, φ0(0) > 0 which maps the unit disk ∆ ontoa region starlike with respect to 1 and symmetric with respect to the real...
Mathematical modeling of infectious disease and designing vaccination law for control of this diseases
In this paper, we propose the concept of partial stability instead of that of global stability to deal with the stability issues of epidemic models. The partial stability is able to provide a more meaningful analysis of...
Homotopy Continuation Method of Arbitrary Order of Convergence for Solving Differenced Hyperbolic Kepler's Equation
In this paper, an efficient iterative method of arbitrary integer order of >=2 will be established for the solution of differenced hyperbolic convergent Kepler's equation. The method is of dynamic nature in the sense...
Research on the integration of mathematics history into the teaching of Higher Mathematics
This article researches the understanding and evaluation of tf mathematics history and its applying to the higher mathematics teaching, discusses the significance and role of history of mathematics in higher mathematics...
ALGEBRAIC PROOF IV FERMATS LAST THEOREM
The special case z4 = x4 + y4 is impossible [1]. In view of this fact, it is only necessary to prove, if x, y, z, are relatively prime positive integers, π is an odd prime, zπ = xπ +yπ (In this artic...