JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2015, Vol. 50 ›› Issue (04): 49-55.doi: 10.6040/j.issn.1671-9352.0.2014.175

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Symmetry, reductions and exact solutions of the (2+1)-dimension Caudrey-Dodd-Gibbon equation

LIU Yong, LIU Xi-qiang   

  1. School of Mathematical Sciences, Liaocheng University, Liaocheng 252059, Shandong, China
  • Received:2014-04-23 Revised:2014-09-26 Online:2015-04-20 Published:2015-04-17

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Abstract: Using the classical Lie group method, we find the classical symmetry and reductions of (2+1)-dimensional Caudrey-Dodd-Gibbon(CDG for short) equation. At the same time, a great many of solutions are derived by solving the reduction equations, including the rational functions, hyperbolic functions, trigonometric functions, and Jacobi elliptic function solutions.

Key words: exact solutions, symmetry, reduction, (2+1)-dimension CDG equation, classical Lie group method

CLC Number: 

  • O175.2
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