Solving the (3+1)-dimensional generalized KP and BKP equations by the multiple exp-function algorithm

Solving the (3+1)-dimensional generalized KP and BKP equations by the multiple exp-function algorithm
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用多重exp函数算法求解(3 1)维广义KP和BKP方程

DOI:
10.1016/j.amc.2012.05.049
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发表时间:
2012-08-15
影响因子:
4
通讯作者:
Zhu, Zuonong
Zhu, Zuonong
中科院分区:
数学2区
文献类型:
--
作者:
Ma, Wen-Xiu;Zhu, Zuonong

文献摘要

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作为Hirota扰动格式的推广,本文用多重指数函数法构造了(3 + 1)维广义KP和BKP方程的多重波解。由此产生的解决方案涉及通用相移和波频率包含许多现有的选择。本文还指出,所考虑的两个方程的相移都不是Hirota型的。(C)2012 Elsevier Inc. All rights reserved.
The multiple exp-function algorithm, as a generalization of Hirota's perturbation scheme, is used to construct multiple wave solutions to the (3 + 1)-dimensional generalized KP and BKP equations. The resulting solutions involve generic phase shifts and wave frequencies containing many existing choices. It is also pointed out that the presented phase shifts for the two considered equations are all not of Hirota type. (C) 2012 Elsevier Inc. All rights reserved.