Nonlinear Analysis (Jul 2012)
Solitary wave fission and fusion in the (2+1)-dimensional generalized Broer–Kaup system
Abstract
Via a special Painlevé–Bäcklund transformation and the linear superposition theorem, we derive the general variable separation solution of the (2 + 1)-dimensional generalized Broer – Kaup system. Based on the general variable separation solution and choosing some suitable variable separated functions, new types of V-shaped and A-shaped solitary wave fusion and Y-shaped solitary wave fission phenomena are reported.
