In our work, we examine the role of dipole-dipole interactions on proton dynamics and properties of defects in hydrogen bonding systems. These interactions created by protons and heavy ions allow us to generalize the original Antonchenko-Davydov-Zolotaryuk model. One of the particularities of our model is the shape of the dipole-dipole interaction, which better expresses and explains real systems compared to the classical harmonic interactions usually used. It emerges that the characteristic parameter of the dipole- dipole interaction is of capital importance in the study of the coupled differential equation of hydrogen bond systems, at the points where its variation drastically changes the dynamics and qualitatively modifies the solutions of the system. The number of solutions obtained and the study of their behavior at the slightest deviation , imply the use of the theory of bifurcations. This theory allowed us to obtain 23 phase portraits, each trajectory of which determines the possible displacement of the proton. For each orbit of the phase portraits obtained, this under very precise conditions, all possible exact parametric representations of the solutions are identified. It is clear that their interpretation shows a much richer variety of solitons. It appears that influence differently the proton in function which he has a subsonic, sonic or supersonic speed, but its variation makes it possible to obtain several exact parametric representations of the solutions (periodic solutions, peakon, kink and antikink, compacton, etc.) and singular straight lines. However, due to their robustness, we have chosen the compacton-type solutions having the shape of the kink (Kinkon) to determine the dynamic quantities of the system such as the energy and momentum of the kink (k) and the anti-kink (ak), physical quantities such as mobility and conductivity, in order to better appreciate the validity of the model and the theories we have proposed.
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