1Shanghai Key Laboratory of Trustworthy Computing, East China Normal University, Shanghai 200062 2Department of Mathematics, The University of Texas-Pan American, Edinburg TX 78541, USA 3Suzhou Institute of Trade and Commerce, Suzhou 215000
Abstract:Multi-soliton solution to a multi-component coupled Ito system is investigated based on the Hirota bilinear method. By virtue of the perturbation method, we firstly derive one- and two-soliton solutions for the coupled Ito system possessing four components. Then the multi-soliton solution for the multi-component coupled Ito system is summarized into a general form expressed by pfaffians. Finally, this general pfaffian-type soliton solution is proved by pfaffian techniques.