(2+1)-Dimensional Combined Structures of Various Solitons with Completely Nonelastic Interaction Properties**The project supported by National Natural Science Foundation of China under Grant No. 10272072, and the Natural Science Foundation of Zhejiang Province of China under Grant No. 101032

Abstract

Starting from the variable separation solution obtained by using the extended homogenous balance method, a new class of combined structures, such as multi-peakon and multi-dromion solution, multi-compacton and multi-dromion solution, multi-peakon and multi-compacton solution, for the (2+1)-dimensional Nizhnik–Novikov–Veselov equation are found by selecting appropriate functions. These new structures exhibit novel interaction features. Their interaction behavior is very similar to the completely nonelastic collisions between two classical particles.