ON THE APPROXIMATE SOLUTIONS FOR A SYSTEM OF COUPLED KORTEWEG–DE VRIES EQUATIONS WITH LOCAL FRACTIONAL DERIVATIVE
Hossein Jafari, Hassan Kamil Jassim, Dumitru Bǎleanu, Yu‐Ming Chu
Abstract
In this paper, we utilize local fractional reduced differential transform (LFRDTM) and local fractional Laplace variational iteration methods (LFLVIM) to obtain approximate solutions for coupled KdV equations. The obtained results by both presented methods (the LFRDTM and the LFLVIM) are compared together. The results clearly show that those suggested algorithms are suitable and effective to handle linear and as well as nonlinear problems in engineering and sciences.
Topics & Concepts
Korteweg–de Vries equationLaplace transformMathematicsFractional calculusNonlinear systemApplied mathematicsDerivative (finance)Partial differential equationMathematical analysisPhysicsFinancial economicsQuantum mechanicsEconomicsFractional Differential Equations SolutionsIterative Methods for Nonlinear EquationsDifferential Equations and Numerical Methods