中国物理B ›› 2012, Vol. 21 ›› Issue (7): 70212-070212.doi: 10.1088/1674-1056/21/7/070212
唐亚宁a, 马文秀b, 徐伟a
Tang Ya-Ning(唐亚宁)a)†, Ma Wen-Xiu(马文秀) b), and Xu Wei(徐伟)a)
摘要: 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.
中图分类号: (Other topics in mathematical methods in physics)