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Title: On the steady-state solutions of a nonlinear photonic lattice model

Abstract

In this paper, we consider the steady-state solutions of the following equation related with nonlinear photonic lattice model Δu=(Pu)/(1+|u|{sup 2}+|v|{sup 2}) +λu, Δv=(Qv)/(1+|u|{sup 2}+|v|{sup 2}) +λv, where u, v are real-value function defined on R/(τ{sub 1}Z) × R/(τ{sub 2}Z). The existence and non-existence of non-constant semi-trivial (with only one component zero) solutions are considered.

Authors:
;  [1]
  1. School of Mathematics and LPMC, Nankai University, Tianjin 300071 (China)
Publication Date:
OSTI Identifier:
22403116
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Mathematical Physics; Journal Volume: 56; Journal Issue: 3; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; EQUATIONS; FUNCTIONS; MATHEMATICAL SOLUTIONS; NONLINEAR PROBLEMS; STEADY-STATE CONDITIONS

Citation Formats

Liu, Chungen, E-mail: liucg@nankai.edu.cn, E-mail: tjftp@mail.nankai.edu.cn, and Ren, Qiang, E-mail: liucg@nankai.edu.cn, E-mail: tjftp@mail.nankai.edu.cn. On the steady-state solutions of a nonlinear photonic lattice model. United States: N. p., 2015. Web. doi:10.1063/1.4914333.
Liu, Chungen, E-mail: liucg@nankai.edu.cn, E-mail: tjftp@mail.nankai.edu.cn, & Ren, Qiang, E-mail: liucg@nankai.edu.cn, E-mail: tjftp@mail.nankai.edu.cn. On the steady-state solutions of a nonlinear photonic lattice model. United States. doi:10.1063/1.4914333.
Liu, Chungen, E-mail: liucg@nankai.edu.cn, E-mail: tjftp@mail.nankai.edu.cn, and Ren, Qiang, E-mail: liucg@nankai.edu.cn, E-mail: tjftp@mail.nankai.edu.cn. Sun . "On the steady-state solutions of a nonlinear photonic lattice model". United States. doi:10.1063/1.4914333.
@article{osti_22403116,
title = {On the steady-state solutions of a nonlinear photonic lattice model},
author = {Liu, Chungen, E-mail: liucg@nankai.edu.cn, E-mail: tjftp@mail.nankai.edu.cn and Ren, Qiang, E-mail: liucg@nankai.edu.cn, E-mail: tjftp@mail.nankai.edu.cn},
abstractNote = {In this paper, we consider the steady-state solutions of the following equation related with nonlinear photonic lattice model Δu=(Pu)/(1+|u|{sup 2}+|v|{sup 2}) +λu, Δv=(Qv)/(1+|u|{sup 2}+|v|{sup 2}) +λv, where u, v are real-value function defined on R/(τ{sub 1}Z) × R/(τ{sub 2}Z). The existence and non-existence of non-constant semi-trivial (with only one component zero) solutions are considered.},
doi = {10.1063/1.4914333},
journal = {Journal of Mathematical Physics},
number = 3,
volume = 56,
place = {United States},
year = {Sun Mar 15 00:00:00 EDT 2015},
month = {Sun Mar 15 00:00:00 EDT 2015}
}