### 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 |

### Keywords

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

### ASJC Scopus subject areas

- Mathematics(all)
- Applied Mathematics

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## Cite this

Peng, Y. Z., & Krishnan, E. V. (2007). New exact solutions for the cubic-quintic nonlinear Schrödinger equation.

*Communications in Mathematical Sciences*,*5*(2), 243-252.