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...

Abstract. We discuss some algebraic properties of the so-called discrete KP hierarchy, an integrable system defined on a space of infinite matrices. We give an algebraic proof of the complete integrability of the hierarchy, which we achieve by means of a factorization result for infinite matrices, that extends a result of Adler and Van Moerbeke for the case of (semi-infinite) moment matrices, a...

Dr. A.J. Kanwar, House No. 431, Sector 35 A, Chandigarh (India) We read with great interest the article by Rudzki et al. [1]. The authors evaluated the frequency and significance of major and minor clinical features of atopic dermatitis (AD) as proposed by Hanifin and Rajka [2] in 481 patients. All 4 major features were present in 717%% and 3 major features in only 28.3% of patients. However, 9...

Matrix solutions of a noncommutative KP and a noncommutative mKP equation which can be expressed as quasideterminants are discussed. In particular, we investigate interaction properties of two-soliton solutions.

We propose one possible generalization of the KP hierarchy, which possesses multi bi–hamiltonian structures, and can be viewed as several KP hierarchies coupled together .

We prove that the flow map of the Kadomtsev-Petviashvili-I (KP-I) equation is not uniformly continuous on bounded sets of the natural energy space.