Nonlocal integrable equations from the mKP hierarchy.

A class of non-local integrable equations is proposed as a new generalization of the constrained 1st modified KP hierarchy (i.e. Kupershmidt–Kiso version), which is called the generalized k-modified intermediate long wave ( gILW k for short) hierarchy. Then the bilinear formulations for the gMILW k hierarchy are constucted. Based on the bilinear formulations, rational and soliton solutions are obtained by using the boson-fermion correspondence. [ABSTRACT FROM AUTHOR]