Exact solitary- and periodic-wave modes in coupled equations with saturable nonlinearity

K. W. Chow, Boris A. Malomed, K. Nakkeeran*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

11 Scopus citations

Abstract

We demonstrate that the known method, based on the Hirota bilinear operator, generates classes of exact solutions to a system of coupled nonlinear Schrödinger (CNLS) equations with nonpolynomial nonlinearity, either rational or algebraic (the latter involves a square root). The choice of the CNLS equations is suggested by known models for photorefractive media and Bose-Einstein condensation. The solutions are, generally, periodic, and they form families expressed in terms of the Jacobi elliptic functions, the elliptic modulus k being a free parameter of the family. In the limit case corresponding to the infinite period (k = 1), the solutions amount to solitons. In some cases, the exact solutions may feature patterns with two peaks per period. Exact solutions are also found in a single NLS equation with a rational saturable nonlinearity and periodic potential in the form of squared Jacobi sine.

Original languageEnglish
Pages (from-to)37-41
Number of pages5
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Volume359
Issue number1
DOIs
StatePublished - 6 Nov 2006

Funding

FundersFunder number
Hong Kong Research Grants CouncilHKU 7123/05E
Nuffield Foundation

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