Exact solution in the discrete case for solitons propagating in a chain of harmonically coupled particles lying in double-minimum potential wells

um limit is suitably modified. This modified potential is expressible in closed form, and its shape is a function of ~ and k. For large cv the maximum. at x„=0 becomes a minimum, giving a triple-minimum potential. Potential shapes and particle positions are illustrated for various (~,k) combinations. The total energy and its kinetic, potential, and spring energy constituents are also expressible in closed form. In the continuum limit the total energy has the form E = moc, /(1 —v /c, ) ', where mo is the soliton effective mass, v is the soliton speed, and c, is the speed of sound in the mass-spring chain.