Read full paper at: http://www.scirp.org/journal/PaperInformation.aspx?PaperID=50347#.VDskCFfHRK1 Author(s) Guohua Xu Affiliation(s) College of Science, University of Shanghai for Science and Technology, Shanghai, China . ABSTRACT In this paper, based on the Lax pair of the Jaulent-Miodek spectral problem, we construct the Darboux transformation of the Jaulent-Miodek Equation. Then from a trivial solution, we get the exact solutions of the Jaulent-Miodek Equation. We obtain a kink-type soliton and a bell-kink-type soliton. Particularly, we obtain the exact solutions which describe the elastic-inelastic-interaction coexistence phenomenon. KEYWORDS Darboux Transfor...
Scientific Research Publishing