First Integral Method for Constructing New Exact Solutions of The important Nonlinear Evolution Equations in Physics
Faeza Lafta Hasan
Abstract
Abstract 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.
Topics & Concepts
MapleNonlinear systemPartial differential equationTraveling waveDifferential equationMathematicsOrdinary differential equationApplied mathematicsCommutative propertyAlgebra over a fieldMathematical analysisPhysicsPure mathematicsQuantum mechanicsBotanyBiologyNonlinear Waves and SolitonsNonlinear Photonic SystemsBlack Holes and Theoretical Physics