1.Department of Physics, Zhejiang Normal University, Jinhua 321004, China;2.Faculty of Science, Ningbo University, Ningbo 315211, China
Abstract:
The Bäcklund transformation(BT) of the mKdV-sG equation is constructed by introducing a new transformation. Infinitely many nonlocal symmetries are obtained in terms of its BT. The soliton-periodic wave interaction solutions are explicitly derived by the classical Lie-group reduction method. Particularly, some special concrete soliton and periodic wave interaction solutions and their behaviours are discussed both in analytical and graphical ways.