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Abundant Exact Explicit Solutions to a Modified cKdV Equation
  
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KeyWord:Modified cKdV equation; Exact explicit solutions; (ω/g)-expansion method; (g0/g2)-expansion method; (g0/g)-expansion method; (g0)-expansion method
Author NameAffiliation
Zhenshu Wen Fujian Province University Key Laboratory of Computational Science, School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, China 
Qin Wang Fujian Province University Key Laboratory of Computational Science, School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, China 
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Abstract:
      In this paper, we construct abundant exact explicit solutions to a modified cKdV equation by employing the three forms of (ω/g)-expansion method, i.e., (g0/g2)-expansion method, (g0/g)-expansion method and (g0)expansion method. The solutions obtained are under different constraint conditions and are in the form of hyperbolic, trigonometric and rational functions, respectively, including kink (antikink) wave solutions, singular wave solutions and periodic singular wave solutions which have potential applications in physical science and engineering.