Solutions of Several Coupled Discrete Models in terms of Lame Polynomials of Order One and Two

Details Solutions of Several Coupled Discrete Models in terms of Lame Polynomials of Order One and Two Solutions of Several Coupled Discrete Models in terms of Lame Polynomials of Order One and Two

2011-10-03

arxiv.org/abs/1110.0540v1

Nonlinear Sciences

Pattern Formation and Solitons

31 pages, to appear in Pramana (Journal of Physics) 2011

Scientific paper

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 Lame 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 Schrodinger equation, (iv) coupled phi4 model, and (v) coupled phi6 model. Furthermore, we show that most of these coupled models in fact also possess an even broader class of exact solutions.

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