Generalized ILW hierarchy: solutions and limit to extended lattice GD hierarchy
Generalized ILW hierarchy: solutions and limit to extended lattice GD hierarchy
Abstract The intermediate long wave (ILW) hierarchy and its generalization, labelled by a positive integer N , can be formulated as reductions of the lattice KP hierarchy. The integrability of the lattice KP hierarchy is inherited by these reduced systems. In particular, all solutions can be captured by a factorization …