Propagation of proton solitons in hydrogen-bonded chains with an asymmetric double-well potential

One of the most efficient ways of solving nonlinear partial differential equations is by an algebraic method such as the modified extended tangent hyperbolic function (METF) method aided by symbolic computation. We investigate the proton dynamics of a hydrogen-bonded (HB) chain with an asymmetric double-well potential based on a two-component soliton model. We solve the associated dynamical equations by invoking the METF method and explore the functional role of heavy ionic and protonic interactions in the nonlinear transport of protons in the form of kinkon, antikinkon, soliton and antisolitonic excitations.