Exact Periodic Wave Solutions to the Nizhnik--Novikov--Veselov Equation |

Y.-Z. Peng Department of Mathematics, Huazhong University of Science and Technology, Wuhan 430074, P.R. China Department of Mathematics and Physics, Henan University of Science and Technology, Luoyang 471003, P.R. China |

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Received: November 3, 2003; revised version April 8, 2004 |

Exact periodic wave solutions to the Nizhnik--Novikov--Veselov equation are obtained by means of the modified mapping method. Limit cases are studied and new solitary wave solutions and trigonometric periodic wave solutions are found. |

DOI: 10.12693/APhysPolA.105.417 PACS numbers: 02.30.Jr |