Dynamics of thermophoretic waves in graphene sheets: on the study of interaction phenomena

This study focuses on the equation of graphene sheets with variable coefficients in a (2 + 1)-dimensional context. This equation describes the thermophoretic wave motion of wrinkles in graphene sheets. Graphene has emerged as a highly promising nanomaterial due to its distinctive thermal, electronic, and mechanical properties. These properties make it well-suited for a wide range of applications in materials science, medicine, water filtration, electronics, energy storage. The examination of thermal wave transmission behavior has been a significant subject of research in the scientific literature. For analyzing the studied equation, we apply Hirtoa bilinear method and discuss the variety of multiple solitons like lump solutions, breathers of different types, and two wave solutions. To visually represent the results, a range of graphs with unique shapes are generated in accordance with the specified parameter values. The computational intricacies and outcomes underscore the technique’s efficacy, simplicity, and transparency, demonstrating its suitability for numerous types of static and dynamic nonlinear equations pertaining to evolutionary phenomena in computational physics, in addition to other research and practical domains. These results illustrate the physical properties of solutions and the collision-related components of a variety of nonlinear physical processes.