### 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 |
---|---|

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

**Exact solitary- and periodic-wave modes in coupled equations with saturable nonlinearity.** / Chow, K. W.; Malomed, B. A.; Kaliyaperumal, Nakkeeran.

Research output: Contribution to journal › Article

*Physics Letters A*, vol. 359, pp. 37-41. https://doi.org/10.1016/j.physleta.2006.05.082

}

TY - JOUR

T1 - Exact solitary- and periodic-wave modes in coupled equations with saturable nonlinearity

AU - Chow, K. W.

AU - Malomed, B. A.

AU - Kaliyaperumal, Nakkeeran

PY - 2006

Y1 - 2006

N2 - 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.

AB - 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.

KW - SCHRODINGER-EQUATIONS

KW - VECTOR SOLITONS

KW - SPATIAL SOLITONS

KW - OPTICAL-FIBER

KW - INSTABILITIES

KW - SYSTEM

U2 - 10.1016/j.physleta.2006.05.082

DO - 10.1016/j.physleta.2006.05.082

M3 - Article

VL - 359

SP - 37

EP - 41

JO - Physics Letters A

JF - Physics Letters A

SN - 0375-9601

ER -