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Novel types of interactions between solitons in the (2+1)-dimensional asymmetric Nizhnik-Novikov-Veselov system. (English) Zbl 1260.35179
Summary: Using the extended tanh-function method (ETM) based on mapping method, the variable separation solutions of the (2+1)-dimensional asymmetric Nizhnik-Novikov-Veselov (ANNV) system are derived. It is shown that these variable separation solutions actually depend on each other. Based on the variable separation solutions and by selecting appropriate functions, new types of interactions among semi-foldons and special dromions, peakons, foldons are constructed. Moreover, explicit phase shifts for all local excitations are given, and applied to these novel interactions in detail.
MSC:
35Q53KdV-like (Korteweg-de Vries) equations
35Q51Soliton-like equations