New Exact Solutions and Modulation Instability for the Nonlinear (2+1)-Dimensional Davey-Stewartson System of Equation

被引：5

作者：

Boateng, Kwasi ^{[1
]}

Yang, Weiguo ^{[1
]}

Apeanti, Wilson Osafo ^{[1
]}

Yaro, David ^{[1
]}

机构：

[1] Jiangsu Univ, Fac Sci, Zhenjiang 212013, Jiangsu, Peoples R China

来源：

ADVANCES IN MATHEMATICAL PHYSICS | 2019年 / 2019卷

关键词：

SOLITARY WAVE SOLUTIONS; ZAKHAROV-KUZNETSOV EQUATION; SINE-COSINE METHOD; STABILITY ANALYSIS; SCHRODINGER-EQUATION; DYNAMICAL EQUATION; PERIODIC-SOLUTIONS; BROER-KAUP; TRANSFORM; SOLITONS;

D O I：

10.1155/2019/3879259

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The Davey-Stewartson Equation (DSE) is an equation system that reflects the evolution in finite depth of soft nonlinear packets of water waves that move in one direction but in which the waves' amplitude is modulated in spatial directions. This paper uses the Generalized Elliptic Equation Rational Expansion (GEERE) technique to extract fresh exact solutions for the DSE. As a consequence, solutions with parameters of trigonometric, hyperbolic, and rational function are achieved. To display the physical characteristics of this model, the solutions obtained are graphically displayed. Modulation instability assessment of the outcomes acquired is also discussed and it demonstrates that all the solutions built are accurate and stable.

引用

页数：15

共 50 条

[21] ON (2+1)-DIMENSIONAL EXPANDING INTEGRABLE MODEL OF THE DAVEY-STEWARTSON HIERARCHY
Guo, Xiu-Rong
Ma, Fang-Fang
Wang, Juan
THERMAL SCIENCE, 2021, 25 (06): : 4431 - 4439
[22] Optical soliton solutions of fokas system and (2+1) Davey-Stewartson system by mapping method
Ahmed, Naveed
Rani, Mehwish
Dragomir, Silvestru Sever
Bin Mohsin, Bandar
PHYSICA SCRIPTA, 2024, 99 (03)
[23] Exact solutions and excitations for the Davey-Stewartson equations with nonlinear and gain terms
Wang, Ren-Jie
Huang, Yong-Chang
EUROPEAN PHYSICAL JOURNAL D, 2010, 57 (03): : 395 - 401
[24] Exact solutions and excitations for the Davey-Stewartson equations with nonlinear and gain terms
Ren-Jie Wang
Yong-Chang Huang
The European Physical Journal D, 2010, 57 : 395 - 401
[25] ON THE PAINLEVE PROPERTY OF NONLINEAR FIELD-EQUATIONS IN 2+1 DIMENSIONS - THE DAVEY-STEWARTSON SYSTEM
LEO, RA
MANCARELLA, G
SOLIANI, G
SOLOMBRINO, L
JOURNAL OF MATHEMATICAL PHYSICS, 1988, 29 (12) : 2666 - 2671
[26] Full Symmetry Groups and Similar Reductions of a (2+1)-Dimensional Resonant Davey-Stewartson System
胡晓瑞
陈勇
骞龙江
Communications in Theoretical Physics, 2011, 55 (05) : 737 - 742
[27] On a (2+1)-dimensional generalization of the Ablowitz-Ladik lattice and a discrete Davey-Stewartson system
Tsuchida, Takayuki
Dimakis, Aristophanes
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2011, 44 (32)
[28] Full Symmetry Groups and Similar Reductions of a (2+1)-Dimensional Resonant Davey-Stewartson System
Hu Xiao-Rui
Chen Yong
Qian Long-Jiang
COMMUNICATIONS IN THEORETICAL PHYSICS, 2011, 55 (05) : 737 - 742
[29] Dark soliton solutions for a (2+1)-dimensional nonlocal Davey–Stewartson system
Sun Y.
Optik, 2023, 287
[30] INFINITE-DIMENSIONAL SYMMETRY ALGEBRAS AND AN INFINITE NUMBER OF CONSERVED QUANTITIES OF THE (2+1)-DIMENSIONAL DAVEY-STEWARTSON EQUATION
OMOTE, M
JOURNAL OF MATHEMATICAL PHYSICS, 1988, 29 (12) : 2599 - 2603

← 1 2 3 4 5 →