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

共 57 条

[21] Breather-to-soliton transition for a sixth-order nonlinear Schrodinger equation in an optical fiber [J].

Huang, Qian-Min ;

Gao, Yi-Tian ;

Hu, Lei .

APPLIED MATHEMATICS LETTERS, 2018, 75 :135-140

[22] Soliton solutions of an integrable nonlocal modified Korteweg-de Vries equation through inverse scattering transform [J].

Ji, Jia-Liang ;

Zhu, Zuo-Nong .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2017, 453 (02) :973-984

[23] On the quintic time-dependent coefficient derivative nonlinear Schrodinger equation in hydrodynamics or fiber optics [J].

Jia, Ting-Ting ;

Gao, Yi-Tian ;

Feng, Yu-Jie ;

Hu, Lei ;

Su, Jing-Jing ;

Li, Liu-Qing ;

Ding, Cui-Cui .

NONLINEAR DYNAMICS, 2019, 96 (01) :229-241

[24] Multi-soliton solutions and Breathers for the generalized coupled nonlinear Hirota equations via the Hirota method [J].

Jia, Ting-Ting ;

Chai, Yu-Zhen ;

Hao, Hui-Qin .

SUPERLATTICES AND MICROSTRUCTURES, 2017, 105 :172-182

[25]

Kaur L, 2019, ROM REP PHYS, V71

[26] A (3+1)-dimensional generalized BKP-Boussinesq equation: Lie group approach [J].

Khalique, Chaudry Masood ;

Moleleki, Letlhogonolo Daddy .

RESULTS IN PHYSICS, 2019, 13

[27] Rational Solitons in the Parity-Time-Symmetric Nonlocal Nonlinear Schrodinger Model [J].

Li, Min ;

Xu, Tao ;

Meng, Dexin .

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 2016, 85 (12)

[28] Vector rogue waves in the mixed coupled nonlinear Schrodinger equations [J].

Li, Min ;

Liang, Huan ;

Xu, Tao ;

Liu, Changjing .

EUROPEAN PHYSICAL JOURNAL PLUS, 2016, 131 (04)

[29] Dark and antidark soliton interactions in the nonlocal nonlinear Schrodinger equation with the self-induced parity-time-symmetric potential [J].

Li, Min ;

Xu, Tao .

PHYSICAL REVIEW E, 2015, 91 (03)

[30] Nonlocal symmetries and interaction solutions of the Benjamin-Ono equation [J].

Li, Yueyue ;

Hu, Hengchun .

APPLIED MATHEMATICS LETTERS, 2018, 75 :18-23

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