推广KP方程的非奇异有理解  

Nonsingular Rational Solutions to the Generalized KP Equation

作　　者：程丽[1] CHENG Li(Normal school, Jinhua Polytechnic , Jinhua, China 321017)

机构地区：[1]金华职业技术学院师范学院,浙江金华321017

出　　处：《温州大学学报（自然科学版）》2017年第3期1-7,共7页Journal of Wenzhou University(Natural Science Edition)

摘　　要：借助Maple软件的直接符号计算,得到推广KP方程的非奇异有理解.在一定的条件下,(2+1)维推广KP方程具有在空间所有方向都趋于零的lump解,其解涉及六个自由参数;而(3+1)维推广KP方程有lump类型的一族非奇异有理解,其解涉及八个自由参数.It turns out in this paper that the nonsingular rational solution as a class of generalized Kadomtsev-Petviashvili(KP)equation is obtained via the direct symbolic computation with Maple software.Under a certain condition,the(2+1)-dimensional generalized KP equation with a class of lump solutions,rationally localized in all directions in the space is presented,applying its Hirota bilinear form.The resulting lump solutions contain six free parameters.While the nonsingular rational solutions of the(3+1)-dimensional generalized KP equation with a class of lump-type solutions are involved in eight free parameters.

关 键 词：推广KP方程 双线性形式 非奇异有理解 Lump解 

分 类 号：O175.24[理学—数学]