Coupled discrete models are ubiquitous in a variety of physical contexts. We provide an extensive set of exact quasiperiodic solutions of a number of coupled discrete models in terms of Lamé polynomials of arbitrary order. The models discussed are: (i) coupled Salerno model, (ii) coupled Ablowitz-Ladik model, (iii) coupled φ 4 model and (iv) coupled φ 6 model. In all these cases we show that the coefficients of the Lamé polynomials are such that the Lamé polynomials can be re-expressed in terms of Chebyshev polynomials of the relevant Jacobi elliptic function. © Indian Academy of Sciences.
CITATION STYLE
Khare, A., Saxena, A., & Khare, A. (2012). Solutions of several coupled discrete models in terms of Lamé polynomials of arbitrary order. Pramana - Journal of Physics, 79(3), 377–392. https://doi.org/10.1007/s12043-012-0327-0
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