The multicomponent 2D Toda hierarchy: dispersionless limit
The multicomponent 2D Toda hierarchy: dispersionless limit
The factorization problem of the multi-component 2D Toda hierarchy is used to analyze the dispersionless limit of this hierarchy. A dispersive version of the Whitham hierarchy defined in terms of scalar Lax and Orlov--Schulman operators is introduced and the corresponding additional symmetries and string equations are discussed. Then, it is …