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Grammian and Pfaffian solutions as well as Pfaffianization for a (3+1)-dimensional generalized shallow water equation 下载免费PDF全文
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. 相似文献
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通过使用Pfaffianization化程序, 产生一个广义耦合的变系数KP方程组, 并且利用pfaffian技术给出了耦合变系数KP方程组的Wronski型pfaffian式解和Gram型pfaffian式解. 相似文献
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In this paper, the pfaffianization procedure is applied to the generalized variable-coefficient Kadomtsev-Petviashvili (vcKP) equation which can describe the realistic nonlinear phenomena in the fluid dynamics and plasmas. Using the pfaffianization procedure, the coupled system for the generalized vcKP equation is derived together with the Wronski-type pfaffian solution for this generalized coupled vcKP system under certain coefficient constraint. Furthermore, the Gramm-type pfaffian solution for such a coupled system is presented and verified by virtue of the pfaffian identities. 相似文献
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