J4 ›› 2010, Vol. 45 ›› Issue (11): 93-99.

• Articles • Previous Articles     Next Articles

The two-soliton solution of a new shallow water wave equation

JU Lin   

  1. School of Mathematics and Physics, Jiangsu University of Science and Technology, Zhenjiang 212003, Jiangsu, China
  • Received:2010-01-20 Online:2010-11-16 Published:2010-11-24

Abstract:

Two-soliton solutions are studied for a new nonlinear dispersive shallow water wave equations, named Dullin-Gottwald-Holm equation(i.e. DGH equation). Using the inverse scattering transform method, the inverse scattering solving equation of the DGH equation is established. In the case of reflectionless potentials, the known two-soliton solution in a simple parametric form by using the scattering data of equation and Matlab packages is represented. Finally, a few examples of the two-soliton solution profile are presented, which show the familiar phase shift generated by the nonlinear interaction.

Key words: DGH equation; two-soliton solution; scattering data; the inverse scattering method

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