Entire solutions with merging fronts to a bistable periodic lattice dynamical system

Shi Liang Wu, Cheng Hsiung Hsu

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

Abstract

We are interested in finding entire solutions of a bistable periodic lattice dynamical system. By constructing appropriate super- and subsolutions of the system, we establish two difierent types of merging-front entire solutions. The first type can be characterized by two monostable fronts merging and converging to a single bistable front; while the second type is a solution which behaves as a monostable front merging with a bistable front and one chases another from the same side of x-axis. For this discrete and spatially periodic system, we have to emphasize that there has no symmetry between the increasing and decreasing pulsating traveling fronts, which increases the dificulty of construction of the super- and subsolutions.

Original languageEnglish
Pages (from-to)2329-2346
Number of pages18
JournalDiscrete and Continuous Dynamical Systems- Series A
Volume36
Issue number4
DOIs
StatePublished - 1 Apr 2016

Keywords

  • Bistable nonlinearity
  • Entire solution
  • Periodic lattice dynamical system
  • Pulsating (periodic) traveling front

Fingerprint

Dive into the research topics of 'Entire solutions with merging fronts to a bistable periodic lattice dynamical system'. Together they form a unique fingerprint.

Cite this