Pramana

, Volume 78, Issue 2, pp 187–213

Solutions of several coupled discrete models in terms of Lamé polynomials of order one and two

Article

DOI: 10.1007/s12043-011-0215-z

Cite this article as:
KHARE, A. & SAXENA, A. Pramana - J Phys (2012) 78: 187. doi:10.1007/s12043-011-0215-z

Abstract

Coupled discrete models abound in several areas of physics. Here we provide an extensive set of exact quasiperiodic solutions of a number of coupled discrete models in terms of Lamé polynomials of order one and two. Some of the models discussed are: (i) coupled Salerno model, (ii) coupled Ablowitz–Ladik model, (iii) coupled saturated discrete nonlinear Schrödinger equation, (iv) coupled ϕ4 model and (v) coupled ϕ6 model. Furthermore, we show that most of these coupled models in fact also possess an even broader class of exact solutions.

Keywords

SolitonsJacobi elliptic functionsphase transitionsfield theories

PACS Nos

11.10.Lm05.45.Yv02.30.Gp03.50.-z63.70+h

Copyright information

© Indian Academy of Sciences 2011

Authors and Affiliations

  1. 1.Institute of PhysicsSachivalaya MargBhubaneswarIndia
  2. 2.Theoretical Division and Center for Nonlinear StudiesLos Alamos National LaboratoryLos AlamosUSA
  3. 3.Indian Institute of Science Education and ResearchPashanIndia