Behaviors of the double-periodic soliton and breather wave solutions for a fractional thermophoretic motion equation via the graphene sheets in wave motions


Deng N., Manafian J., İlhan O. A., Aghazadeh A., Eslam B., Fattah A., ...Daha Fazla

ENGINEERING COMPUTATIONS : INTERNATIONAL JOURNAL FOR COMPUTER-AIDED ENGINEERING AND SOFTWARE, cilt.3, ss.1-33, 2026 (SCI-Expanded, Scopus)

Özet

KABUL EDİLDİ.

We focus our attention on some solitonic phenomena in the substrate-supported graphene sheets by learning the solitons of a fractional thermophoretic motion equation, which has been extracted from the wrinkle wave motions. By utilizing the analytical technique and selecting suitably the Hirota bilinear method involved in the nonlinear ODE form, new analytic solutions are attained. To investigate the fractional solutions the generalized fractional derivative is used. Breather wave solutions and double periodic-soliton solutions are studied with the usage of symbolic computation. A collection of comprehensive soliton structures are developed to study the dynamics of the governing model with the aid of some efficient analytical strategies. Through three-dimensional graph, density graph, and two-dimensional graph to investigate the breather wave (BW) and double periodicsoliton (DPS) solutions are presented. As a result, the numerous classifications of both BW and DPS solutions to the studied issues are found. The modified extended mapping method is used to obtain different types of solutions including soliton, bright soliton, dark soliton, kink, periodic na dother solutions. An important property of dispersive solitons is their ability to interact with other solitons. When two or more solitons interact, they can either combine to form a new soliton or repel each other and maintain their individual shapes. The appropriateness and viability of the obtained arrangements is detailed through the reenactment comes about within the shape of 3-D, density, and 2-D charts. This property allows for the creation of complex wave patterns and the manipulation of light in a variety of ways. These solitons have been extensively studied in various physical systems, including optics, hydrodynamics, and plasma physics.