### Abstract

We demonstrate that the known method, based on the Hirota bilinear operator, generates classes of exact solutions to a system of coupled nonlinear Schrodinger (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. (c) 2006 Elsevier B.V. All rights reserved.

Original language | English |
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Pages (from-to) | 37-41 |

Number of pages | 4 |

Journal | Physics Letters A |

Volume | 359 |

DOIs | |

Publication status | Published - 2006 |

### Keywords

- SCHRODINGER-EQUATIONS
- VECTOR SOLITONS
- SPATIAL SOLITONS
- OPTICAL-FIBER
- INSTABILITIES
- SYSTEM

## Cite this

*Physics Letters A*,

*359*, 37-41. https://doi.org/10.1016/j.physleta.2006.05.082