New soliton structures in the (2+1)-dimensional nonlinear KdV equations

Abstract

A new variable separation approach for the (2+1)-dimensional nonlinear KdV equations is obtained by using variable separation technique and selecting a class of new seed solutions. Some new kinds of periodic soliton structutres, ring form soliton structures and curvilinear soliton structures are revealed by selecting the arbitrary functions appropriately. These structures, which can not be obtained from the formula commonly used in literature, are first reported.