The Darboux Transformation And Explicit Solutions Of A Five Order Nonlinear Soliton Equation

In this paper, the Darboux transformation and explicit solutions of a five order non-linear soliton equation are mainly studied. First of all, from a known spectral problem and Lt=[ω,L], the nonlinear soliton equation associated with the above spectral problem is derived, then a Darboux transformation of the first nontrivial soliton equation is con-structed. Making use of the Darboux transformation, three groups of explicit solutions for the soliton equation can be obtained while the different seed solutions were selected. Fur-ther, suitably choosing the parameters, the beautiful graphics of the one group of explicit solutions can be drew out. Finally, the infinite conservation laws of the soliton equation are given.