Double reductions and traveling wave structures of the generalized Pochhammer–Chree equation
Akhtar Hussain, M. Usman, F. D. Zaman, Sayed M. Eldin
Abstract
Symmetry methods are always very useful for discussing the classes of differential equation solutions. This article focuses on traveling wave structures of the generalized Pochhammer–Chree (PHC) equation. First, we will discuss Lie point symmetries of the PHC equation to classify the solutions. Then, we formulate traveling wave structures considering the reduced differential equations (DEs) by using sech method and the new extended direct algebraic (EDA) method. In the end, we will sketch some of the traveling wave structures.
Topics & Concepts
Traveling waveMathematicsHomogeneous spaceSketchSymmetry (geometry)Differential equationPartial differential equationPoint (geometry)Wave equationKadomtsev–Petviashvili equationMathematical analysisDifferential (mechanical device)Characteristic equationGeometryPhysicsAlgorithmThermodynamicsNonlinear Waves and SolitonsNonlinear Photonic SystemsFractional Differential Equations Solutions