Two-Dimensional Dispersionless Toda Lattice Hierarchy: Symmetry, New Extension, Hodograph Solutions, and Reduction
The symmetry for two-dimensional (2D) dispersionless Toda lattice hierarchy (dTLH) is firstly derived, and then the 2D dTLH is extended based on the symmetry constraint.The commutativity of two different flows for this new click here hierarchy is shown, which leads to the 2D dToda lattice equation with self-consistent acupatch sources (dTLESCSs) to