scholarly journals Interfaces supporting surface gap soliton ground states in the 1D nonlinear Schrödinger equation

2013 ◽  
Vol 407 (2) ◽  
pp. 425-435 ◽  
Author(s):  
Tomáš Dohnal ◽  
Kaori Nagatou ◽  
Michael Plum ◽  
Wolfgang Reichel
Keyword(s):  
Schrödinger Equation ◽  
Nonlinear Schrödinger Equation ◽  
Schrodinger Equation ◽  
Ground States ◽  
Nonlinear Schrodinger Equation ◽  
Supporting Surface ◽  
Nonlinear Schrödinger ◽  
Gap Soliton

scholarly journals Non-Kirchhoff Vertices and Nonlinear Schrödinger Ground States on Graphs

Mathematics ◽  
2020 ◽  
Vol 8 (4) ◽  
pp. 617
Author(s):  
Riccardo Adami ◽  
Filippo Boni ◽  
Alice Ruighi
Keyword(s):  
Schrödinger Equation ◽  
Nonlinear Schrödinger Equation ◽  
Schrodinger Equation ◽  
Ground States ◽  
Matching Condition ◽  
Nonlinear Schrodinger Equation ◽  
Nonlinear Schrödinger

We review some recent results and announce some new ones on the problem of the existence of ground states for the Nonlinear Schrödinger Equation on graphs endowed with vertices where the matching condition, instead of being free (or Kirchhoff’s), is non-trivially interacting. This category includes Dirac’s delta conditions, delta prime, Fülöp-Tsutsui, and others.

scholarly journals Ground states of dispersion-managed nonlinear Schrödinger equation

2000 ◽  
Vol 62 (5) ◽  
pp. 7358-7364 ◽  
Author(s):  
Vadim Zharnitsky ◽  
Emmanuel Grenier ◽  
Sergei K. Turitsyn ◽  
Christopher K. R. T. Jones ◽  
Jan S. Hesthaven
Keyword(s):  
Schrödinger Equation ◽  
Nonlinear Schrödinger Equation ◽  
Schrodinger Equation ◽  
Ground States ◽  
Nonlinear Schrodinger Equation ◽  
Nonlinear Schrödinger
Sign in / Sign up

Export Citation Format

Share Document