Soliton Solutions of Mathematical Physics Models Using the Exponential Function Technique
Shumaila Javeed, Khurram Saleem Alimgeer, Sidra Nawaz, Asif Waheed, Muhammad Suleman, Dumitru Bǎleanu, M. Atif
Abstract
This paper is based on finding the exact solutions for Burger’s equation, Zakharov-Kuznetsov (ZK) equation and Kortewegde vries (KdV) equation by utilizing exponential function method that depends on the series of exponential functions. The exponential function method utilizes the homogeneous balancing principle to find the solutions of nonlinear equations. This method is simple, wide-reaching and helpful for finding the exact solution of nonlinear conformable PDEs.
Topics & Concepts
Exponential functionConformable matrixKorteweg–de Vries equationApplied mathematicsNonlinear systemSimple (philosophy)MathematicsSeries (stratigraphy)Function (biology)Mathematical analysisExponential integralPhysicsIntegral equationEvolutionary biologyPhilosophyEpistemologyLine integralBiologyPaleontologyQuantum mechanicsNonlinear Waves and SolitonsFractional Differential Equations SolutionsNonlinear Photonic Systems