• Solutions of several coupled discrete models in terms of Lamé polynomials of arbitrary order

• # Fulltext

https://www.ias.ac.in/article/fulltext/pram/079/03/0377-0392

• # Keywords

Solitons; Jacobi elliptic functions; ﬁeld theories; phase transitions.

• # Abstract

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 $\phi^4$ model and (iv) coupled $\phi^6$ 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.

• # Author Affiliations

1. Indian Institute of Science Education and Research, Raja Ramanna Fellow, Pune 411 021, India
2. Theoretical Division and Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, NM 87545, USA
3. Departments of Mathematics and Statistics, Stanford University, Stanford, CA 94305, USA

• # Pramana – Journal of Physics

Volume 96, 2022
All articles
Continuous Article Publishing mode

• # Editorial Note on Continuous Article Publication

Posted on July 25, 2019