scholarly journals Traveling wave solutions for complex nonlinear space–time fractional order (2 + 1)-dimensional Maccari dynamical system and Schrödinger equation with dual power law nonlinearity

2019 ◽  
Vol 1 (6) ◽  
Author(s):  
Wilson Osafo Apeanti ◽  
Dianchen Lu ◽  
Hong Zhang ◽  
David Yaro ◽  
Saviour Worlanyo Akuamoah
Keyword(s):  
Dynamical System ◽  
Schrödinger Equation ◽  
Fractional Order ◽  
Power Law ◽  
Traveling Wave ◽  
Schrodinger Equation ◽  
Traveling Wave Solutions ◽  
Space Time ◽  
Wave Solutions ◽  
Dual Power

scholarly journals The Classification of Single Traveling Wave Solutions for the Fractional Coupled Nonlinear SchrÖdinger equation

2021 ◽  
Author(s):  
Lu Tang ◽  
Shanpeng Chen
Keyword(s):  
Schrödinger Equation ◽  
Nonlinear Schrödinger Equation ◽  
Traveling Wave ◽  
Schrodinger Equation ◽  
Traveling Wave Solutions ◽  
Nonlinear Schrodinger Equation ◽  
Hyperbolic Function ◽  
Nonlinear Schrödinger ◽  
Coupled Nonlinear Schrödinger Equation ◽  
Wave Solutions

Abstract The main purpose of this paper is to study the single traveling wave solutions of the fractional coupled nonlinear SchrÖdinger equation. By using the complete discriminant system method and computer algebra with symbolic computation, a series of new single traveling wave solutions are obtained, which include trigonometric function solutions, Jacobi elliptic function solutions, hyperbolic function solutions, solitary wave solutions and rational function solutions. In order to further explain the propagation of the fractional coupled nonlinear Schr\"{o}dinger equation in nonlinear optics, two-dimensional and three-dimensional graphs are drawn.

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