منابع مشابه
The multicomponent 2D Toda hierarchy: Dispersionless limits
In this paper we discuss the dispersionless limit of the multicomponent 2D Toda hierarchy. The discrete flows of the hierarchy are used to define charge preserving Lax and Orlov–Schulman operators. This construction allows us to perform two types of dispersionless limits, one type leads to the 0-genus universal Whitham hierarchy while the other leads to a dispersionless hierarchy which contains...
متن کاملOn Dispersionless Hirota Type Equations
Various connections between 2-D gravity and KdV, dKdV, inverse scattering, etc. are established. For KP we show how to extract from the dispersionless limit of the Fay differential identity of Takasaki-Takebe the collection of differential equations for F = log(τ ) which play the role of Hirota type equations in the dispersionless theory. 1. HIROTA EQUATIONS In [7] we showed how second derivati...
متن کاملSolution of the Dispersionless Hirota Equations
The dispersionless differential Fay identity is shown to be equivalent to a kernel expansion providing a universal algebraic characterization and solution of the dispersionless Hirota equations. Some calculations based on D-bar data of the action are also indicated.
متن کاملThe Equations of Some Dispersionless Limit
These equations are the generalized equations of several dispersionless equations. A complete table for p ≤ 10 is provided.
متن کاملIntegrable hierarchies, dispersionless limit and string equations
The notion of string equations was discovered in the end of the eighties, and has been studied in the language of integrable hierarchies. String equations in the KP hierarchy are nowadays relatively well understood. Meanwhile, systematic studies of string equations in the Toda hierarchy started rather recently. This article presents the state of art of these issues from the author’s point of vi...
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ژورنال
عنوان ژورنال: Journal of Mathematics, Mechanics and Computer Science
سال: 2019
ISSN: 1563-0277,2617-4871
DOI: 10.26577/jmmcs-2019-2-22