Variable separation solutions and new solitary wave structures to the (1+1)-dimensional Ito system

A variable separation approach is proposed and extended to the (1+1)-dimensional physics system. The variable separation solution of (1+1)-dimensional Ito system is obtained. Some special types of solutions such as non-propagating solitary wave solution, propagating solitary wave solution and looped soliton solution are found by selecting the arbitrary function appropriately. © 2006 Chin. Phys. Soc. and IOP Publishing Ltd.