Optimal system and dynamics of optical soliton solutions for the Schamel KdV equation
Akhtar Hussain, Younès Chahlaoui, M. Usman, F. D. Zaman, Choonkil Park
Abstract
In this research, we investigate the integrability properties of the Schamel-Korteweg-de Vries (S-KdV) equation, which is important for understanding the effect of electron trapping in the nonlinear interaction of ion-acoustic waves. Using the optimal system, we come over reduced ordinary differential equations (ODEs). To deal with reduced ODEs for this problem, Lie symmetry analysis is combined with the modified auxiliary equation (MAE) procedure and the generalized Jacobi elliptic function expansion (JEF) method. The analytical solutions reported here are novel and have a wide range of applications in mathematical physics.
Topics & Concepts
Korteweg–de Vries equationOdeSolitonOrdinary differential equationPartial differential equationSymmetry (geometry)Elliptic functionNonlinear systemJacobi elliptic functionsMathematicsRange (aeronautics)Differential equationMathematical physicsApplied mathematicsMathematical analysisPhysicsQuantum mechanicsComposite materialGeometryMaterials scienceNonlinear Waves and SolitonsNonlinear Photonic SystemsFractional Differential Equations Solutions