Interactions of Lump and Solitons to Generalized (2 + 1)-Dimensional Ito Systems**Supported by the National Natural Science Foundation of China under Grant No. 1143505 and also sponsored by K. C. Wong Magna Fund in Ningbo University

Abstract

The (2 + 1)-dimensional Ito equation is extended to a general form including some nonintegrable effects via introducing generalized bilinear operators. It is pointed out that the nonintegrable (2 + 1)-dimensional Ito equation contains lump solutions and interaction solutions between lump and stripe solitons. The result shows that the lump soliton will be swallowed or arisen by a stripe soliton in a fixed time. Furthermore, by the interaction between a lump and a paired resonant stripe soliton, the lump will be transformed to an instanton or a rogue wave.