### Abstract

We study a new quintic discrete nonlinear Schrödinger (QDNLS) equation which reduces naturally to an interesting symmetric difference equation of the form φ_{n+1} + φ_{n-1} = F(φ_{n}). Integrability of the symmetric mapping is checked by singularity confinement criteria and growth properties. Some new exact localized solutions for integrable cases are presented for certain sets of parameters. Although these exact localized solutions represent only a small subset of the large variety of possible solutions admitted by the QDNLS equation, those solutions presented here are the first example of exact localized solutions of the QDNLS equation. We also find chaotic behavior for certain parameters of nonintegrable case.

Original language | English |
---|---|

Pages (from-to) | 214-220 |

Number of pages | 7 |

Journal | Physics Letters, Section A: General, Atomic and Solid State Physics |

Volume | 311 |

Issue number | 2-3 |

DOIs | |

Publication status | Published - 2003 May 12 |

Externally published | Yes |

### Fingerprint

### Keywords

- Discrete solitons
- Hirota method
- Singularity confinement

### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Physics Letters, Section A: General, Atomic and Solid State Physics*,

*311*(2-3), 214-220. https://doi.org/10.1016/S0375-9601(03)00499-7

**Exact localized solutions of quintic discrete nonlinear Schrödinger equation.** / Maruno, Kenichi; Ohta, Yasuhiro; Joshi, Nalini.

Research output: Contribution to journal › Article

*Physics Letters, Section A: General, Atomic and Solid State Physics*, vol. 311, no. 2-3, pp. 214-220. https://doi.org/10.1016/S0375-9601(03)00499-7

}

TY - JOUR

T1 - Exact localized solutions of quintic discrete nonlinear Schrödinger equation

AU - Maruno, Kenichi

AU - Ohta, Yasuhiro

AU - Joshi, Nalini

PY - 2003/5/12

Y1 - 2003/5/12

N2 - We study a new quintic discrete nonlinear Schrödinger (QDNLS) equation which reduces naturally to an interesting symmetric difference equation of the form φn+1 + φn-1 = F(φn). Integrability of the symmetric mapping is checked by singularity confinement criteria and growth properties. Some new exact localized solutions for integrable cases are presented for certain sets of parameters. Although these exact localized solutions represent only a small subset of the large variety of possible solutions admitted by the QDNLS equation, those solutions presented here are the first example of exact localized solutions of the QDNLS equation. We also find chaotic behavior for certain parameters of nonintegrable case.

AB - We study a new quintic discrete nonlinear Schrödinger (QDNLS) equation which reduces naturally to an interesting symmetric difference equation of the form φn+1 + φn-1 = F(φn). Integrability of the symmetric mapping is checked by singularity confinement criteria and growth properties. Some new exact localized solutions for integrable cases are presented for certain sets of parameters. Although these exact localized solutions represent only a small subset of the large variety of possible solutions admitted by the QDNLS equation, those solutions presented here are the first example of exact localized solutions of the QDNLS equation. We also find chaotic behavior for certain parameters of nonintegrable case.

KW - Discrete solitons

KW - Hirota method

KW - Singularity confinement

UR - http://www.scopus.com/inward/record.url?scp=0037905066&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0037905066&partnerID=8YFLogxK

U2 - 10.1016/S0375-9601(03)00499-7

DO - 10.1016/S0375-9601(03)00499-7

M3 - Article

AN - SCOPUS:0037905066

VL - 311

SP - 214

EP - 220

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

SN - 0375-9601

IS - 2-3

ER -