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Grammian and Pfaffian solutions as well as Pfaffianization for a (3+1)-dimensional generalized shallow water equation
Journal article   Peer reviewed

Grammian and Pfaffian solutions as well as Pfaffianization for a (3+1)-dimensional generalized shallow water equation

Ya-Ning Tang, Wen-Xiu Ma and Wei Xu
Chinese physics B, Vol.21(7), pp.70212-1-070212-8
01/07/2012
DOI: https://doi.org/10.1088/1674-1056/21/7/070212

Abstract

Physical Sciences Physics Physics, Multidisciplinary Science & Technology
Based on the Grammian and Pfaffian derivative formulae, Grammian and Pfaffian solutions are obtained for a (3+1)-dimensional generalized shallow water equation in the Hirota bilinear form. Moreover, a Pfaffian extension is made for the equation by means of the Pfaffianization procedure, the Wronski-type and Gramm-type Pfaffian solutions of the resulting coupled system are presented.

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