Bäcklund transformation and localized nonlinear wave solutions of the nonlocal defocusing coupled nonlinear Schrödinger equation

2021 ◽  
Vol 95 ◽  
pp. 105626
Author(s):  
Yunqing Yang ◽  
Takashi Suzuki ◽  
Jianyong Wang
Keyword(s):  
Schrödinger Equation ◽  
Nonlinear Wave ◽  
Nonlinear Schrödinger Equation ◽  
Schrodinger Equation ◽  
Bäcklund Transformation ◽  
Nonlinear Schrodinger Equation ◽  
Backlund Transformation ◽  
Coupled Nonlinear Schrödinger Equation ◽  
Wave Solutions ◽  
Nonlinear Wave Solutions

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.

Sign in / Sign up

Export Citation Format

Share Document