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A thermophoretic motion system with a variable heat transmission factor is investigated, which describes wrinkling soliton propagation in a substrate-supported graphene sheet. Analytic multiple-lump wave solutions are constructed via the Hirota bilinear method and symbolic computation. A numerical simulation shows that the system exhibits breaking lump waves. The system parameters control the open width and number of breaking gaps. These results should contribute to a better understanding of the propagation characteristics of wrinkling solitons in a complex graphene thermophoretic motion system.

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