Diverse Multiple Lump Analytical Solutions for Ion Sound and Langmuir Waves
Abdulmohsen D. Alruwaili, Aly R. Seadawy, Syed T. R. Rizvi, Sid Ahmed Ould Beinane
Abstract
In this work, we study a time-fractional ion sound and Langmuir waves system (FISLWS) with Atangana–Baleanu derivative (ABD). We use a fractional ABD operator to transform our system into an ODE. We investigate multiwaves, periodic cross-kink, rational, and interaction solutions by the combination of rational, trigonometric, and various bilinear functions. Furthermore, 3D, 2D, and relevant contour plots are presented for the natural evolution of the gained solutions under the selection of proper parameters.
Topics & Concepts
OdeTrigonometryOperator (biology)LangmuirFractional calculusRational functionMathematical analysisBilinear interpolationWork (physics)MathematicsApplied mathematicsPhysicsThermodynamicsChemistryAdsorptionGeneStatisticsTranscription factorBiochemistryRepressorOrganic chemistryNonlinear Waves and SolitonsFractional Differential Equations SolutionsMathematical functions and polynomials