  We here numerically investigate the heat transport behavior in a
one-dimensional lattice with a soft-type (ST) anharmonic interparticle
interaction. It is found that with the increase of system's temperature, while
the introduction of ST anharmonicity softens phonons and decreases their
velocities, this type of nonlinearity like its counterpart of hard type (HT),
can still not be able to fully damp the longest wave phonons. Therefore, an
anomalous temperature dependent heat transport with certain scaling properties
similarly to those in the Fermi-Pasta-Ulam like systems with HT interactions
can be seen. Our detailed examination from simulations well verify this
temperature dependent behavior.
