scholarly journals A Class of Stable Perturbations for a Minimal Mass Soliton in Three-Dimensional Saturated Nonlinear Schrödinger Equations

2010 ◽  
Vol 42 (3) ◽  
pp. 1382-1403 ◽  
Author(s):  
Jeremy L. Marzuola
Keyword(s):  
Three Dimensional ◽  
Nonlinear Schrödinger Equations ◽  
Schrodinger Equations ◽  
Schrödinger Equations ◽  
Nonlinear Schrödinger ◽  
Nonlinear Schrodinger Equations ◽  
Minimal Mass

scholarly journals Analytic solutions of the chiral nonlinear schrödinger equations investigated by an efficient approach

2019 ◽  
Vol 7 (2) ◽  
pp. 94
Author(s):  
K. M. Abdul Al Woadud ◽  
Dipankar Kumar ◽  
Md. Jahirul Islam ◽  
Md. Imrul Kayes ◽  
Atish Kumar Joardar
Keyword(s):  
Three Dimensional ◽  
Traveling Wave Solutions ◽  
Analytic Solutions ◽  
Nonlinear Schrödinger Equations ◽  
Schrodinger Equations ◽  
Schrödinger Equations ◽  
Nonlinear Schrödinger ◽  
New Exact Solutions ◽  
Nonlinear Schrodinger Equations ◽  
Kudryashov Method

This paper studies the chiral nonlinear Schrödinger equations, describing a central role in the developments of quantum me-chanics, particularly in the field of quantum Hall effect, where chiral excitations are known to appear. More precisely, in this paper, we acquired new exact solutions of the chiral nonlinear (1+1) and (1+2)-dimensional Schrödinger equations by using the modified Kudraysov method. As outcomes, some of the new exact traveling wave solutions for the equations above is formally produced. All solutions are plotted in the view of three-dimensional (3D) and two-dimensional (2D) line shape through the MATLAB software for investigating the real significance of the studied equations. The periodic type of solitons is generated by employing modified Kudryashov method which is different from other studied methods. 

Collapse for the Generalized Three-Dimensional Nonlocal Nonlinear Schrödinger Equations

2014 ◽  
Vol 14 (3) ◽  
Author(s):  
Xin Jiang ◽  
Zaihui Gan
Keyword(s):  
A Priori Estimates ◽  
A Priori ◽  
Three Dimensional ◽  
Nonlinear Schrödinger Equations ◽  
Schrodinger Equations ◽  
Schrödinger Equations ◽  
Nonlinear Schrödinger ◽  
Nonlinear Schrodinger Equations ◽  
Nonlocal Terms ◽  
Nonlocal Nonlinear

AbstractFinite time collapse of solutions to the generalized three-dimensional nonlocal nonlinear Schrödinger equations is studied. This result is achieved through establishing some a priori estimates for the nonlocal terms and by introducing a type of virial identities.

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