J4 ›› 2010, Vol. 45 ›› Issue (11): 93-99.
• Articles • Previous Articles Next Articles
JU Lin
Received:
Online:
Published:
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
JU Lin. The two-soliton solution of a new shallow water wave equation[J].J4, 2010, 45(11): 93-99.
0 / / Recommend
Add to citation manager EndNote|Reference Manager|ProCite|BibTeX|RefWorks
URL: http://lxbwk.njournal.sdu.edu.cn/EN/
http://lxbwk.njournal.sdu.edu.cn/EN/Y2010/V45/I11/93
Cited