2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/138425In the present work, we investigate the soliton structure of the Vakhnenko equation with a 'dissipative' term, by means of the Hirota's method. As a result, we unearth three kinds of soliton solutions depending upon the dissipation parameter. We further find that the scattering behavior among such structures exhibits a peculiar feature that may be the fission phenomenon.19 pages, 11 figuresMathematical Physicsmath-phOn soliton structure of the Vakhnenko equation with a 'dissipative' term: a peculiar fission phenomenontext