Multiple rogue wave solutions and the linear superposition principle for a (3+1)-dimensional Kadomtsev-Petviashvili-Boussinesq-like equation arising in energy distributions

被引：8

作者：

Manafian, Jalil ^{[1
,2
]}

机构：

[1] Univ Tabriz, Fac Math Sci, Dept Appl Math, Tabriz, Iran

[2] Lankaran State Univ, Fac Nat Sci, Lankaran, Azerbaijan

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2021年 / 44卷 / 18期

关键词：

Kadomtsev-Petviashvili-Boussinesq-like equation; linear superposition principle; multiple exp-function method; multiple rogue wave solutions; multiple soliton solutions; PARTIAL-DIFFERENTIAL-EQUATIONS; EXP-FUNCTION METHOD; CONSERVATION-LAWS; BACKLUND TRANSFORMATION; GENERALIZED KP; LUMP SOLUTIONS; SOLITONS; SYSTEMS;

D O I：

10.1002/mma.7676

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The multiple exp-function method and multiple rogue wave solutions method are employed for searching the multiple soliton solutions to the (3 + 1)-dimensional Kadomtsev-Petviashvili-Boussinesq-like (KP-Boussinesq-like) equation. The obtained solutions contain the first-order, second-order, third-order, and fourth-order wave solutions. At the critical point, the second-order derivative and Hessian matrix for only one point are investigated, and the lump solution has one maximum value. Moreover, we employ the linear superposition principle to determine N-soliton wave solutions of the KP-Boussinesq-like equation. The physical phenomena of these gained multiple soliton solutions are analyzed and indicated in figures by selecting suitable values.

引用

页码：14079 / 14093

页数：15

共 54 条

[1] The generalized (1+1)-dimensional and (2+1)-dimensional Ito equations: Multiple exp-function algorithm and multiple wave solutions [J].

Adem, Abdullahi Rashid .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2016, 71 (06) :1248-1258

[2] Waves that appear from nowhere and disappear without a trace [J].

Akhmediev, N. ;

Ankiewicz, A. ;

Taki, M. .

PHYSICS LETTERS A, 2009, 373 (06) :675-678

[3] Exponential prototype structures for (2+1)-dimensional Boiti-Leon-Pempinelli systems in mathematical physics [J].

Baskonus, Haci Mehmet ;

Bulut, Hasan .

WAVES IN RANDOM AND COMPLEX MEDIA, 2016, 26 (02) :189-196

[4]

Bulut H., 2021, Adv. Math. Models Appl, V6, P22

[5] Rogue Wave Observation in a Water Wave Tank [J].

Chabchoub, A. ;

Hoffmann, N. P. ;

Akhmediev, N. .

PHYSICAL REVIEW LETTERS, 2011, 106 (20)

[6] Conservation laws, binary Darboux transformations and solitons for a higher-order nonlinear Schrodinger system [J].

Chen, Su-Su ;

Tian, Bo ;

Liu, Lei ;

Yuan, Yu-Qiang ;

Zhang, Chen-Rong .

CHAOS SOLITONS & FRACTALS, 2019, 118 :337-346

[7]

Clarkson P.A., 2017, Trans. Math. Appl., V1, DOI DOI 10.1093/IMATRM/TNX003

[8] Application of the Exp-function method for solving a partial differential equation arising in biology and population genetics [J].

Dehghan, Mehdi ;

Hens, Jalil Manafian ;

Saadatmandi, Abbas .

INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW, 2011, 21 (6-7) :736-753

[9] Solving Nonlinear Fractional Partial Differential Equations Using the Homotopy Analysis Method [J].

Dehghan, Mehdi ;

Manafian, Jalil ;

Saadatmandi, Abbas .

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2010, 26 (02) :448-479

[10] Lie group analysis, analytic solutions and conservation laws of the (3+1)-dimensional Zakharov-Kuznetsov-Burgers equation in a collisionless magnetized electron-positron-ion plasma [J].

Du, Xia-Xia ;

Tian, Bo ;

Wu, Xiao-Yu ;

Yin, Hui-Min ;

Zhang, Chen-Rong .

EUROPEAN PHYSICAL JOURNAL PLUS, 2018, 133 (09)

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