ИСТИНА

In this work, we address the {general long-range interaction} between kinks and antikinks, as well as kinks and kinks, in $\phi^{2n+4}$ field theories for n>1. The kink-antikink interaction is generically attractive, while the kink-kink interaction is generically repulsive. We find that the force of interaction decays with the (2n/(n−1))th power of separation, and we identify the general prefactor for arbitrary n. Importantly, we test the resulting mathematical prediction with detailed numerical simulations of the dynamic field equation, and obtain {excellent} agreement between theory and numerics for the cases of n=2 ($\phi^8$ model), n=3 ($\phi^{10}$ model) and n=4 ($\phi^{12}$ model).