4.6 Article

Invariance analysis of thermophoretic motion equation depicting the wrinkle propagation in substrate-supported Graphene sheets

Journal

PHYSICA SCRIPTA
Volume 98, Issue 9, Pages -

Publisher

IOP Publishing Ltd
DOI: 10.1088/1402-4896/acea46

Keywords

Lie group method; Korteweg-de Vries equation; thermophoretic motion equation; Lie algebra; Graphene sheets; Wrinkle-like

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This article discusses the thermophoretic motion (TM) equation 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. Graphic analysis of the solutions shows how various parameters may change the attributes of the solutions, such as breadth, amplitude, shape, and open direction.
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.

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