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**Generalized Jacobi elliptic function solution to a class of nonlinear Schrödinger-type equations.**
*(English)*
Zbl 1217.35169

Summary: With the help of the generalized Jacobi elliptic function, an improved Jacobi elliptic function method is used to construct exact traveling wave solutions of the nonlinear partial differential equations in a unified way. A class of nonlinear Schrödinger-type equations including the generalized Zakharov system, the Rangwala-Rao equation, and the Chen-Lee-Lin equation are investigated, and the exact solutions are derived with the aid of the homogeneous balance principle.

### MSC:

35Q55 | NLS equations (nonlinear Schrödinger equations) |

35Q53 | KdV equations (Korteweg-de Vries equations) |

35Q51 | Soliton equations |

35C07 | Traveling wave solutions |

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\textit{Z. I. A. Al-Muhiameed} and \textit{E. A. B. Abdel-Salam}, Math. Probl. Eng. 2011, Article ID 575679, 11 p. (2011; Zbl 1217.35169)

### References:

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