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Dynamical Behavior and Exact Traveling Wave Solutions for ThreeSpecial Variants of the Generalized Tzitzeica Equation
  
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KeyWord:Generalized Tzitzeica equation; Solitary wave solution; Periodic wave solution; Peakon solution
Author NameAffiliation
Rongzheng Shu Department of Mathematics, Huzhou University, Huzhou, Zhejiang 313000, China 
Haohao Qian Department of Mathematics, Huzhou University, Huzhou, Zhejiang 313000, China 
Lina Zhang Department of Mathematics, Huzhou University, Huzhou, Zhejiang 313000, China 
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Abstract:
      The dynamics and bifurcations of traveling wave solutions are studied for three nonlinear wave equations. A new phenomenon, such as a composed orbit, which consists of two or three heteroclinic orbits, may correspond to a solitary wave solution, a periodic wave solution or a peakon solution, is found for the equations. Some previous results are extended.