Regular solution and lattice Miura transformation of bigraded Toda hierarchy
نویسندگان
چکیده
منابع مشابه
Toda Lattice Hierarchy and Zamolodchikov’s Conjecture
where the domain of integration for the operator is (0,∞). The quantity e(p) does not depend on tn’s. It should be remarked that our tn corresponds to tn/2 of refs.[1, 2]. Independently, Bernard and LeClair showed that φ(t) solves the shG equation[3]. Quite recently, Tracy and Widom proved that above φ(t) satisfies both the mKdV hierarchy and the shG hierarchy[2]. Their proof is based on the fa...
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String equations of the p-th generalized Kontsevich model and the compactified c = 1 string theory are re-examined in the language of the Toda lattice hierarchy. As opposed to a hypothesis postulated in the literature, the generalized Kontsevich model at p = −1 does not coincide with the c = 1 string theory at self-dual radius. A broader family of solutions of the Toda lattice hierarchy includi...
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Recently much attention has been paid to the restriction of KP to the submanifold of operators which can be represented as a ratio of two purely differential operators L = AB−1. Whereas most of the aspects concerning this reduced hierarchy, like the Lax flows and the Hamiltonians, are by now well understood, there still lacks a clear and conclusive statement about the associated Poisson structu...
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The Toda lattice equation is a nonlinear evolutionary differential-difference equation introduced by Toda [1] describing an infinite system of masses on a line that interact through an exponential force which is used to explain the well-known FermiPasta-Ulam phenomenon. It was soon realized that this equation is completely integrable, i.e. admits infinite conserved quantities. It has important ...
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ژورنال
عنوان ژورنال: Chinese Annals of Mathematics, Series B
سال: 2013
ISSN: 0252-9599,1860-6261
DOI: 10.1007/s11401-013-0804-x