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Solutions of the constrained mKP hierarchy by Boson-Fermion correspondence

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In this paper, the Hirota bilinear equation of the constrained modified KP hierarchy is expressed as the vacuum expectation values of Clifford operators by using the free fermions method of… Click to show full abstract

In this paper, the Hirota bilinear equation of the constrained modified KP hierarchy is expressed as the vacuum expectation values of Clifford operators by using the free fermions method of mKP hierarchy. Then we mainly use the Boson-Fermion correspondence to solve the Hirota bilinear equation of the k-constrained mKP hierarchy. Further, by choosing special group elements in GL∞, the corresponding rational and soliton solutions are given.

Keywords: mkp hierarchy; boson fermion; constrained mkp; hierarchy; fermion correspondence

Journal Title: Journal of Nonlinear Mathematical Physics
Year Published: 2020

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