### Abstract

The algebraic method is developed to obtain new exact solutions, including stationary wave solutions and traveling wave solutions, for the cubic-quintic nonlinear Schrödinger (NLS) equation. Specifically, we present two general solution formulae, which degenerate to the corresponding solution of the cubic NLS equation, when the quintic nonlinear term is absent. It is expected that they are useful in correlative physics fields.

Original language | English |
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Pages (from-to) | 243-252 |

Number of pages | 10 |

Journal | Communications in Mathematical Sciences |

Volume | 5 |

Issue number | 2 |

Publication status | Published - 2007 |

### Fingerprint

### Keywords

- The cubic-quintic nonlinear Schrödinger equation
- The Stationary wave solution
- Traveling wave solution

### ASJC Scopus subject areas

- Mathematics(all)
- Applied Mathematics

### Cite this

*Communications in Mathematical Sciences*,

*5*(2), 243-252.

**New exact solutions for the cubic-quintic nonlinear Schrödinger equation.** / Peng, Yan Z.; Krishnan, E. V.

Research output: Contribution to journal › Article

*Communications in Mathematical Sciences*, vol. 5, no. 2, pp. 243-252.

}

TY - JOUR

T1 - New exact solutions for the cubic-quintic nonlinear Schrödinger equation

AU - Peng, Yan Z.

AU - Krishnan, E. V.

PY - 2007

Y1 - 2007

N2 - The algebraic method is developed to obtain new exact solutions, including stationary wave solutions and traveling wave solutions, for the cubic-quintic nonlinear Schrödinger (NLS) equation. Specifically, we present two general solution formulae, which degenerate to the corresponding solution of the cubic NLS equation, when the quintic nonlinear term is absent. It is expected that they are useful in correlative physics fields.

AB - The algebraic method is developed to obtain new exact solutions, including stationary wave solutions and traveling wave solutions, for the cubic-quintic nonlinear Schrödinger (NLS) equation. Specifically, we present two general solution formulae, which degenerate to the corresponding solution of the cubic NLS equation, when the quintic nonlinear term is absent. It is expected that they are useful in correlative physics fields.

KW - The cubic-quintic nonlinear Schrödinger equation

KW - The Stationary wave solution

KW - Traveling wave solution

UR - http://www.scopus.com/inward/record.url?scp=34547190661&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=34547190661&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:34547190661

VL - 5

SP - 243

EP - 252

JO - Communications in Mathematical Sciences

JF - Communications in Mathematical Sciences

SN - 1539-6746

IS - 2

ER -