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Applied Mathematics and Mechanics (English Edition) ›› 2008, Vol. 29 ›› Issue (11): 1391-1398 .doi: https://doi.org/10.1007/s10483-008-1101-x

• Articles •     Next Articles

Exact traveling wave solutions to 2D-generalized Benney-Luke
equation

LI Ji-bin1,2   

  1. 1. Department of Mathematics, Zhejiang Normal University,Jinhua 321004, Zhejiang Province, P. R. China; 2. Department of Mathematics, Kunming University of Science and Technology, Kunming 650093, P. R. China
  • Received:2008-03-12 Revised:2008-09-22 Online:2008-11-01 Published:2008-11-01
  • Contact: LI Ji-bin

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Abstract: By using the dynamical system method to study the 2D-generalized Benney-Luke equation, the existence of kink wave solutions and uncountably infinite many smooth periodic wave solutions is shown. Explicit exact parametric representations for solutions of kink wave, periodic wave and unbounded traveling wave are obtained.

Key words: kink wave solution, periodic wave solution, unbounded wave solution, nonlinear wave equation, dynamical system method

2010 MSC Number: 

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