Rational and semi-rational solutions for the (3+1)-dimensional B-type Kadomtsev-Petviashvili-Boussinesq equation

被引：4

作者：

Deng, Ya-Si ^{[1
,2
]}

Tian, Bo ^{[1
]}

Sun, Yan ^{[1
,2
]}

Zhang, Chen-Rong ^{[1
,2
]}

Hu, Cong-Cong ^{[1
,2
]}

机构：

[1] Beijing Univ Posts & Telecommun, State Key Lab Informat Photon & Opt Commun, Beijing 100876, Peoples R China

[2] Beijing Univ Posts & Telecommun, Sch Sci, Beijing 100876, Peoples R China

来源：

MODERN PHYSICS LETTERS B | 2019年 / 33卷 / 25期

基金：

中国国家自然科学基金;

关键词：

B-type Kadomtsev-Petviashvili-Boussinesq equation; lump wave; rogue wave; semi-rational solutions; NONLINEAR SCHRODINGER-EQUATION; ROGUE WAVE SOLUTIONS; BACKLUND TRANSFORMATION; LUMP SOLUTIONS; DARK SOLITONS; NONLOCAL SYMMETRIES; DYNAMICS; SOLITARY; SYSTEM; COEFFICIENTS;

D O I：

10.1142/S0217984919502968

中图分类号：

O59 [应用物理学];

学科分类号：

摘要：

Nonlinear waves are seen in nature, such as the water waves and plasma waves. Investigated in this paper is a (3 + 1)-dimensional B-type Kadomtsev-Petviashvili-Boussinesq equation. Based on the bilinear method, we get the rational solutions, which are different from the published ones, semi-rational solutions and breather-type kink soliton solutions. Through the rational solutions, we observe two types of waves: the lump waves and line rogue waves. The semi-rational solutions depict two types of interactions: (1) The fusion or fission between the lump wave and soliton; (2) The interaction between the line rogue wave and soliton. During the interaction between the line rogue wave and soliton, the line rogue wave evolves with three different shapes: the bright rogue waves, bright-dark rogue waves and dark rogue waves. Via the breather-type kink soliton solutions, we observe the breather-soliton mixture.

引用

页数：15