Exact solitary wave solutions of fractional modified Camassa-Holm equation using an efficient method
Aniqa Zulfiqar, Jamshad Ahmad
Abstract
In this work, a competent and efficient technique namely Exp-function method is used to find the solitary wave solutions of time fractional simplified modified Camassa-Holm equation (CH-equation). A generalized fractional complex transformation is accurately used for the conversion of this simplified modified CH-equation into an ordinary differential equation. The application of the method represent that this method is consistent, expedient and provides more general exact solutions.
Topics & Concepts
Camassa–Holm equationTransformation (genetics)MathematicsFractional calculusMathematical analysisWork (physics)Ordinary differential equationFunction (biology)Exact differential equationPartial differential equationDifferential equationApplied mathematicsPhysicsThermodynamicsIntegrable systemBiologyEvolutionary biologyBiochemistryGeneChemistryNonlinear Waves and SolitonsFractional Differential Equations SolutionsNonlinear Photonic Systems