We have performed quantum-mechanical study of charge distribution on the carbon atoms of two-dimensional conjugated system of the model graphene ribbon. The study shows that charges in the quasi-two dimensional conjugated system of the graphene ribbon are not localized on separate carbon atoms, but form one-dimensional solitonic charge waves along zig-zag sides. There are two solitonic charge waves in the dication or dication due to generation of own soliton by each charge; the first soliton in the acene chain is located on one side while the second one is positioned on the opposite side. The shapes of the solitonic waves in the graphene ribbon are similar to ones in one-dimensional conjugated systems. Similarly, in the ionic two-dimensional collective systems of p-electrons two splitted solitonic levels are generated; lengthening of the chain leads to convergence of the levels. The widening of graphene ribbon (y-expansion of two-dimensional conjugated system is accompanied with recession of both solitons to outer sides, so amplitudes of the solitons on the inner sides regularly decrease under widening of the model graphene ribbon; the charges on the inner carbon atoms converge to zero.charge, electroconductivity, graphene ribbon, organic molecules, soliton 1 | I N TR ODU C TI ON Conjugated organic molecules with their collective system of the p-electros are extremely important for numerous applications in functional materials due to specific electronic and spectral properties. [1][2][3][4][5] Conversely, they are convenient model molecules to verify new theoretical approaches and to study dependence of the electron structure on topology of conjugated molecules. [6][7][8][9][10][11] Particular interest is drawn to change of the p-electron structure on injection of the electrons or holes and, therefore, application of the electric field. The p-molecules can be used as semiconductors with comparatively small energy gap that possess high electroconductivity due to unique electron distribution. According to the modern point of view, an injection of the charge in the highly polarized collective system of p-electrons appearance of the so-called solitonic level (impurity level) in the energy gap and the considerable shift both the conductive and valence bands to bottom and top correspondingly. [12,13] The injected charge (electron or hole) is not delocalized over whole p-system, but is self-localized as a solitary wave, that is, a kink or soliton. [13][14][15][16] Here, the solitons are localized particle-like wavepackets which preserve their identities such as shape and amplitude during propagation (terminology in this article does not correspond to the conventionally accepted in nonlinear optics). The quantum-chemical calculations of the one-dimensional p-molecules (polyene cation/anion-radical or polymethines) have shown that the charge wave is finite within 15-17 carbon atoms. [13][14][15] In quantum-chemical calculation, the obtained charge wave gives the most probable charge distribution in conjugated systems. Whe...