The novel solitary wave structures and interactions in the (2 + 1)-dimensional Kortweg-de Vries system

摘要

Using symbolic and algebra computation, the extended tanh-function method (ETM) based on mapping method is further extended. The new variable separation solutions of the (2 + 1)-dimensional Korteweg-de Vries (KdV) system are derived. From the periodic wave solution and by selecting appropriate functions, the evolutional behaviors of dromions and compactons on the background of Jacobian elliptic wave and their interaction behaviors are investigated.