CONSTRUCTION OF FRACTAL SOLITON SOLUTIONS FOR THE FRACTIONAL EVOLUTION EQUATIONS WITH CONFORMABLE DERIVATIVE
Kang‐Le Wang
Abstract
In this paper, the fractional evolutions are described by using the conformable derivative for the first time. We implement fractional functional variable method (FFVM) to obtain some new kinds of fractal soliton wave solutions for these fractional evolution equations. The simplicity and effectiveness of this proposed method are tested on the fractional Drinfeld–Sokolov system and fractional cubic Klein–Gordon equation. The FFVM provides a new perspective to construct exact fractal soliton wave solutions of complex fractional nonlinear evolution equations in mathematical physics.
Topics & Concepts
Conformable matrixFractalFractional calculusSolitonMathematicsNonlinear systemMathematical analysisApplied mathematicsDerivative (finance)PhysicsQuantum mechanicsEconomicsFinancial economicsFractional Differential Equations SolutionsNonlinear Waves and SolitonsNonlinear Photonic Systems