Nonlinear spin-phonon excitations in an inhomogeneous compressible biquadratic Heisenberg spin chain

We consider an inhomogeneous compressible biquadratic Heisenberg ferromagnetic spin chain with harmonic and anharmonic lattice vibrations in the classical continuum limit and identify integrable soliton models. Also, we present some simple localized (one- and twosoliton-like) spin-phonon excitations.