Solitons, one line rogue wave and breather wave solutions of a new extended KP-equation

被引：6

作者：

Akram, Ghazala ^{[1
]}

Zainab, Iqra ^{[1
]}

Sadaf, Maasoomah ^{[1
]}

Bucur, Amelia ^{[2
]}

机构：

[1] Univ Punjab, Dept Math, Lahore 54590, Pakistan

[2] Lucian Blaga Univ Sibiu, Fac Sci, Dept Math & Informat, I Ratiu St 5-7, Sibiu 550012, Romania

来源：

RESULTS IN PHYSICS | 2023年 / 55卷

关键词：

A new extended KP-equation; Modified auxiliary equation method; One line rogue waves; Breather waves; Soliton solutions; PETVIASHVILI EQUATION; SHALLOW-WATER;

D O I：

10.1016/j.rinp.2023.107147

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The Kadomtsev-Petviashvili equation and its variants play a significant role in the description of several nonlinear phenomena arising in physics. In this paper, a new extension of the Kadomtsev-Petviashvili equation is considered. The main objective of this work is to study the traveling wave dynamics of the considered equation. Different traveling patterns are obtained for the governing equation in the presented work. Traveling wave solutions involving solitonic structures are derived by the application of the modified auxiliary equation method. The proposed method has provided solutions involving trigonometric, hyperbolic and rational functions. The wave profiles plotted for the obtained exact solutions exhibit the dark and bright solitons. Moreover, one line rogue wave and breather wave solutions are constructed for the governing model using combination of trigonometric and exponential functions as test functions. The dynamical characteristics of the earned solutions are depicted using interesting plots for deep understanding of obtained results.

引用

页数：8

共 32 条

[1] The dynamical study of Biswas-Arshed equation via modified auxiliary equation method [J].

Akram, Ghazala ;

Sadaf, Maasoomah ;

Zainab, Iqra .

OPTIK, 2022, 255

[2] Abundant optical solitons for Lakshmanan-Porsezian-Daniel model by the modified auxiliary equation method [J].

Akram, Ghazala ;

Sadaf, Maasoomah ;

Khan, M. Atta Ullah .

OPTIK, 2022, 251

[3] Dynamical Structures of Multi-Solitons and Interaction of Solitons to the Higher-Order KdV-5 Equation [J].

Alshammari, Fahad Sameer ;

Rahman, Zillur ;

Roshid, Harun-Or ;

Ullah, Mohammad Safi ;

Aldurayhim, Abdullah ;

Ali, M. Zulfikar .

SYMMETRY-BASEL, 2023, 15 (03)

[4] Stability of periodic waves generated by long-wavelength instabilities in isotropic and anisotropic systems [J].

Bar, DE ;

Nepomnyashchy, AA .

PHYSICA D, 1999, 132 (04) :411-427

[5] The long wave limit for a general class of 2D quasilinear hyperbolic problems [J].

Ben Youssef, W ;

Lannes, D .

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2002, 27 (5-6) :979-1020

[6] Relation between the Kadometsev-Petviashvili equation and the confocal involutive system [J].

Cao, CW ;

Wu, YT ;

Geng, XG .

JOURNAL OF MATHEMATICAL PHYSICS, 1999, 40 (08) :3948-3970

[7] Weakly two-dimensional dust acoustic waves [J].

Duan, WS .

PHYSICS OF PLASMAS, 2001, 8 (08) :3583-3586

[8] Resonant multi-soliton and multiple rogue wave solutions of (3+1)-dimensional Kudryashov-Sinelshchikov equation [J].

Feng, Yueyang ;

Bilige, Sudao .

PHYSICA SCRIPTA, 2021, 96 (09)

[9] Lump-type solutions, rogue wave type solutions and periodic lump-stripe interaction phenomena to a (3+1)-dimensional generalized breaking soliton equation [J].

Gai, Litao ;

Ma, Wen-Xiu ;

Li, Mingchu .

PHYSICS LETTERS A, 2020, 384 (08)

[10]

Ghazala Akram, 2022, CHAOS SOLITON FRACT, V154

← 1 2 3 4 →