The soliton solutions and combined solutions of a high-dimensional wave soliton equation

被引：1

作者：

Wang, Shaofu ^{[1
]}

机构：

[1] Guangxi Med Univ, Sch Informat & Management, Nanning 530021, Peoples R China

来源：

PHYSICA SCRIPTA | 2022年 / 97卷 / 12期

关键词：

wave soliton equation; soliton solution; combined soliton solution; hirota bilinear method; bilinear backlund transformation;

D O I：

10.1088/1402-4896/aca055

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, a high-dimensional wave soliton equation is considered and the simple Hirota method and bilinear backlund transformation are applied to construct the new soliton solutions, lump soliton solutions, breather solutions and their combined solutions. Then, through long-wave limit method and appropriate parameter constraints, one-soliton, one-breather, combined soliton-lump and lump-breather and soliton-breather solutions to nonlinear wave equation are obtained. Moreover, the physical interaction and frontal collision phenomena to the solutions of this equation are explored. In addition, a kind of hyperbolic and trigonometric ansatz is employed to derive other solutions such as kink soliton solution, periodic solutions for the high-dimensional wave equation.The obtained results verify the proposed solutions.

引用

页数：8

共 27 条

[1] Some new types of optical solitons to the time-fractional new hamiltonian amplitude equation via extended Sinh-Gorden equation expansion method [J].

Ali, Khalid K. ;

Raheel, M. ;

Inc, Mustafa .

MODERN PHYSICS LETTERS B, 2022, 36 (20)

[2] Investigation of optical solitons to the nonlinear complex Kundu-Eckhaus and Zakharov-Kuznetsov-Benjamin-Bona-Mahony equations in conformable [J].

Baskonus, Haci Mehmet ;

Gao, Wei .

OPTICAL AND QUANTUM ELECTRONICS, 2022, 54 (06)

[3] Soliton theory and modulation instability analysis: The Ivancevic option pricing model in economy [J].

Chen, Qiliang ;

Baskonus, Haci Mehmet ;

Gao, Wei ;

Ilhan, Esin .

ALEXANDRIA ENGINEERING JOURNAL, 2022, 61 (10) :7843-7851

[4] A deep learning method for solving high-order nonlinear soliton equations [J].

Cui, Shikun ;

Wang, Zhen ;

Han, Jiaqi ;

Cui, Xinyu ;

Meng, Qicheng .

COMMUNICATIONS IN THEORETICAL PHYSICS, 2022, 74 (07)

[5] Soliton Resolution for Critical Co-rotational Wave Maps and Radial Cubic Wave Equation [J].

Duyckaerts, Thomas ;

Kenig, Carlos ;

Martel, Yvan ;

Merle, Frank .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2022, 391 (02) :779-871

[6] Lump, mixed lump-soliton, and periodic lump solutions of a (2+1)-dimensional extended higher-order Broer-Kaup System [J].

Guo, Fan ;

Lin, Ji .

MODERN PHYSICS LETTERS B, 2020, 34 (33)

[7]

Hang C., 2007, PHYS REV E, V74, P1

[8] Multiple soliton, fusion, breather, lump, mixed kink-lump and periodic solutions to the extended shallow water wave model in (2+1)-dimensions [J].

Ismael, Hajar F. ;

Seadawy, Aly ;

Bulut, Hasan .

MODERN PHYSICS LETTERS B, 2021, 35 (08)

[9] Bright solitons for twin-core couplers and multiple-core couplers having polynomial law of nonlinearity using Jacobi elliptic function expansion method [J].

Khalil, Tarek A. ;

Badra, Niveen ;

Ahmed, Hamdy M. ;

Rabie, Wafaa B. .

ALEXANDRIA ENGINEERING JOURNAL, 2022, 61 (12) :11925-11934

[10] Highly dispersive optical soliton molecules to dual-mode nonlinear Schrodinger wave equation in cubic law media [J].

Kopcasiz, Bahadir ;

Seadawy, Aly R. ;

Yasar, Emrullah .

OPTICAL AND QUANTUM ELECTRONICS, 2022, 54 (03)

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