Two-Dimensional Dispersionless Toda Lattice Hierarchy: Symmetry, New Extension, Hodograph Solutions, and Reduction

Two-Dimensional Dispersionless Toda Lattice Hierarchy: Symmetry, New Extension, Hodograph Solutions, and Reduction

Blog Article

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) together with its conservation equation.The hodograph solutions to 2D dTLESCSs are also given.One dimensional reduction of extended 2D dTLH is finally investigated by finding the constraint, and a one-dimensional dTLESCS is shown.