Propagation of harmonic waves in a cylindrical rod via generalized Pochhammer-Chree dynamical wave equation
Asghar Ali, Aly R. Seadawy, Dumitru Bǎleanu
Abstract
In this manuscript, three novel schemes (Generalized direct algebraic; Improved simple equation and Modified F-expansion methods) are successfully utilized to find the solitary solutions of generalized form of Pochhammer-Chree equation.The concerned wave model has been used in the scrutiny for the propagating of harmonic waves in a cylindrical rod and several problems in fluid mechanics and waves theory in physics. The obtained results have imperative role in the field of the nonlinear science.
Topics & Concepts
MathematicsClassical mechanicsSimple (philosophy)Nonlinear systemField (mathematics)HarmonicMathematical analysisHarmonic oscillatorSimple harmonic motionWave propagationKadomtsev–Petviashvili equationAlgebraic numberPhysicsWave equationQuantum mechanicsBurgers' equationPartial differential equationPure mathematicsEpistemologyPhilosophyNonlinear Waves and SolitonsNonlinear Photonic SystemsAdvanced Mathematical Physics Problems