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

被引：6

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 52 条

[41] Resonant interaction of modulational instability with a periodic soliton in the Davey-Stewartson equation [J].