Solitary wave of the Schrodinger lattice system with nonlinear hopping

2013/11/30 by Cheng, Ming
#Analysis of PDEs (math.AP) #Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.1312.0074

Abstract

This paper is concerned with the nonlinear Schrodinger lattice with nonlinear hopping. Via variation approach and the Nehari manifold argument, we obtain two types of solution: periodic ground state and localized ground state. Moreover, we consider the convergence of periodic solutions to the solitary wave.

Related

• Solitary waves and their linear stability in nonlinear lattices
• Schroedinger equation as the universal continuum limit of nonrelativistic coherent hopping on a cubic spatial lattice
• Long time dynamics of highly concentrated solitary waves for the nonlinear Schroedinger equation
• Solitary pulse solutions of a coupled nonlinear Schr "odinger system\n arising in optics
• On the existence of Nehari ground states for the Nonlinear Schrödinger Equation on Discrete Graphs