Fission and fusion interaction phenomena of mixed lump kink solutions for a generalized (3+1)-dimensional B-type Kadomtsev-Petviashvili equation

被引：17
作者：
Liu, Yaqing [1 ]
Wen, Xiaoyong [1 ]
机构：
[1] Beijing Informat Sci & Technol Univ, Sch Appl Sci, Beijing 100192, Peoples R China
来源：
MODERN PHYSICS LETTERS B | 2018年 / 32卷 / 15期
关键词：
The (3+1)-dimensional gBKP equation; lump soliton; mixed lump kink solutions; periodic lump solutions; fission and fusion interaction; MULTIPLE-SOLITON-SOLUTIONS; DE-VRIES EQUATION; JIMBO-MIWA; BACKLUND TRANSFORMATION; RATIONAL SOLUTIONS; NONLOCAL SYMMETRY; BELL POLYNOMIALS; OPTICAL SOLITON; BKP EQUATION; ROGUE WAVE;
D O I：
10.1142/S0217984918501610
中图分类号：
O59 [应用物理学];
学科分类号：
摘要：
In this paper, a generalized (3 + 1)-dimensional B-type Kadomtsev-Petviashvili (gBKP) equation is investigated by using the Hirota's bilinear method. With the aid of symbolic computation, some new lump, mixed lump kink and periodic lump solutions are derived. Based on the derived solutions, some novel interaction phenomena like the fission and fusion interactions between one lump soliton and one kink soliton, the fission and fusion interactions between one lump soliton and a pair of kink solitons and the interactions between two periodic lump solitons are discussed graphically. Results might be helpful for understanding the propagation of the shallow water wave.
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页数：15
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