Invariance analysis of thermophoretic motion equation depicting the wrinkle propagation in substrate-supported Graphene sheets
M. Usman, Akhtar Hussain, F. D. Zaman
Abstract
Abstract This article discusses the thermophoretic motion (TM) equation that is used to describe soliton-like thermophoresis of wrinkles in Graphene sheet based on the Korteweg–de Vries (KdV) equation. Wrinkle-like exact solutions are constructed using the Lie group method and modified auxiliary equation (MAE) approach. A graphic analysis of the solutions is done to show how various parameters may change the attributes of the solutions, such as breadth, amplitude, shape, and open direction.
Topics & Concepts
ThermophoresisKorteweg–de Vries equationSolitonGrapheneMotion (physics)PhysicsClassical mechanicsMathematical analysisMechanicsMathematicsQuantum mechanicsNanofluidHeat transferNonlinear systemAdvanced Materials and MechanicsStructural Analysis and OptimizationMetamaterials and Metasurfaces Applications