摘要
With the help of an extended mapping approach and a linear variable separation method,new families ofvariable separation solutions with arbitrary functions for the(3+1)-dimensional Burgers system are derived.Based onthe derived exact solutions, some novel and interesting localized coherent excitations such as embed-solitons are revealedby selecting appropriate boundary conditions and/or initial qualifications.The time evolutional properties of the novellocalized excitation are also briefly investigated.
With the help of an extended mapping approach and a linear variable separation method,new families of variable separation solutions with arbitrary functions for the(3+1)-dimensional Burgers system are derived.Based on the derived exact solutions, some novel and interesting localized coherent excitations such as embed-solitons are revealed by selecting appropriate boundary conditions and/or initial qualifications.The time evolutional properties of the novel localized excitation are also briefly investigated.
基金
the Natural Science Foundation of Zhejiang Province under Grant Nos. Y604106 and Y606181
the Foundation of New Century "151 Talent Engineering" of Zhejiang Province
the Scientific Research Foundation of Key Discipline of Zhejiang Province
the Natural Science Foundation of Zhejiang Lishui University under Grant No KZ06006
