scholarly journals Scattering for the radial 3D cubic focusing inhomogeneous nonlinear Schrödinger equation

2017 ◽  
Vol 262 (8) ◽  
pp. 4175-4231 ◽  
Author(s):  
Luiz Gustavo Farah ◽  
Carlos M. Guzmán
Keyword(s):  
Schrödinger Equation ◽  
Nonlinear Schrödinger Equation ◽  
Schrodinger Equation ◽  
Nonlinear Schrodinger Equation ◽  
Nonlinear Schrödinger ◽  
Inhomogeneous Nonlinear Schrödinger Equation

Integrability and soliton dynamics for an inhomogeneous nonlinear Schrödinger equation in an inhomogeneous plasma

2015 ◽  
Vol 29 (26) ◽  
pp. 1550152 ◽  
Author(s):  
Yu-Feng Wang ◽  
Bo Tian
Keyword(s):  
Schrödinger Equation ◽  
Nonlinear Schrödinger Equation ◽  
Schrodinger Equation ◽  
Inhomogeneous Plasma ◽  
Soliton Solutions ◽  
Nonlinear Schrodinger Equation ◽  
Bell Polynomial ◽  
Nonlinear Schrödinger ◽  
Soliton Dynamics ◽  
Inhomogeneous Nonlinear Schrödinger Equation

Under investigation in this paper is an inhomogeneous nonlinear Schrödinger equation, which describes the propagation of a large-wavelength small-amplitude electron plasma wave in a parabolic-distributed and constant-interactional-damping inhomogeneous plasma. Via the Hirota method, Bell-polynomial approach and symbolic computation, bilinear form, Bäcklund transformation and [Formula: see text]-soliton solutions are obtained. Influence of the linear density coefficient [Formula: see text] and damping coefficient [Formula: see text] on the soliton envelopes is also discussed, i.e. [Formula: see text] can affect the soliton position, while [Formula: see text] is related to the soliton intensity, velocity and phase shift. Periodically attractive and repulsive interactions are shown. Asymptotic analysis shows that the interactions between/among the solitons are elastic.

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