Exact M-Theory Solutions, Integrable Systems, and Superalgebras
نویسندگان
چکیده
منابع مشابه
Exact solutions to quantum field theories and integrable equations
The exact solutions to quantum string and gauge field theories are discussed and the existing arguments in favour of possibility to describe these solutions in the framework of integrable systems are presented. In particular I consider in detail some examples of appearence of solutions to the first-order integrable equations of hydrodynamical type and discuss their origins and possible generali...
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where is the derivative of with respect to , was derived to describe water waves in shallow channels [KdV95]. It bears the names of Korteweg and de Vries and has become the prototype integrable nonlinear partial differential equation since the work in [Miu68, MGK68, SG69, Gar71, KMGZ70, GGKM74]. The KdV equation is for the field of integrability what the harmonic oscillator is for quantum mecha...
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We present an algorithm for finding closed form solutions in elliptic functions of completely integrable systems. First we solve the linear differential equations in spectral parameter of Hermite-Halphen type. The integrability condition of the pair of equations of HermiteHalphen type gives the large family of completely integrable systems of Lax-Novikov type. This algorithm is implemented on t...
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A class of exact solutions of the dispersionless Toda hierarchy constrained by a string equation is obtained. These solutions represent deformations of analytic curves with a finite number of nonzero harmonic moments. The corresponding τ -functions are determined and the emergence of cusps is studied.
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ژورنال
عنوان ژورنال: Symmetry, Integrability and Geometry: Methods and Applications
سال: 2015
ISSN: 1815-0659
DOI: 10.3842/sigma.2015.029