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
收藏
页数：15
相关论文
共 50 条
  • [31] New exact complex traveling wave solutions for (2+1)-dimensional BKP equation
    Ma, Hong-Cai
    Wang, Yan
    Qin, Zhen-Yun
    APPLIED MATHEMATICS AND COMPUTATION, 2009, 208 (02) : 564 - 568
  • [32] New Jacobi elliptic function solutions, solitons and other solutions for the (2+1)-dimensional nonlinear electrical transmission line equation
    Tala-Tebue, E.
    Zayed, E. M. E.
    EUROPEAN PHYSICAL JOURNAL PLUS, 2018, 133 (08):
  • [33] NEW EXACT SOLUTIONS OF COUPLED (2+1)-DIMENSIONAL NONLINEAR SYSTEMS OF SCHRODINGER EQUATIONS
    Khani, F.
    Darvishi, M. T.
    Farmany, A.
    Kavitha, L.
    ANZIAM JOURNAL, 2010, 52 (01) : 110 - 121
  • [34] A Family of Novel Exact Solutions to (2+1)-Dimensional KdV Equation
    Wang, Zhen
    Zou, Li
    Zong, Zhi
    Qin, Hongde
    ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [35] On new closed form solutions: The (2+1)-dimensional Bogoyavlenskii system
    Tariq, Kalim U.
    Zabihi, Ali
    Rezazadeh, Hadi
    Younis, Muhammad
    Rizvi, S. T. R.
    Ansari, Reza
    MODERN PHYSICS LETTERS B, 2021, 35 (09):
  • [36] Complete symmetry reductions, conservation laws and exact solutions for a (2+1)-dimensional nonlinear Schrodinger equation
    Zhi, Hongyan
    OPTIK, 2021, 232
  • [37] The new exact solitary wave solutions and stability analysis for the (2+1)-dimensional Zakharov-Kuznetsov equation
    Ghanbari, Behzad
    Yusuf, Abdullahi
    Inc, Mustafa
    Baleanu, Dumitru
    ADVANCES IN DIFFERENCE EQUATIONS, 2019,
  • [38] Solitary wave solutions for the variable-coefficient coupled nonlinear Schrodinger equations and Davey-Stewartson system using modified sine-Gordon equation method
    El-Shiekh, Rehab M.
    Gaballah, Mahmoud
    JOURNAL OF OCEAN ENGINEERING AND SCIENCE, 2020, 5 (02) : 180 - 185
  • [39] New abundant exact solutions for the (2+1)-dimensional generalized Nizhnik-Novikov-Veselov system
    Deng, Chaofa
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2010, 15 (11) : 3349 - 3357
  • [40] New Solitary Solutions of (2+1)-Dimensional Variable Coefficient Nonlinear Schrodinger Equation with an External Potential
    Song Zhao-Hui
    Ding Qi
    Mei Jian-Qin
    Zhang Hong-Qing
    CHINESE PHYSICS LETTERS, 2010, 27 (01)
12345