Applied Mathematics and Mathematical Physics Seminar

Time: 3:30 pm

Place: MCLN 242.1

Speaker: Zhijun Qiao (Department of Mathematics, The University of Texas Pan-American, Edinburg, TX)

Title: A synthetical two-component model with peakon solutions

Abstract:A generalized two-component model with peakon solutions is proposed. It allows an arbitrary function to be involved in, and, it reduces to some existing integrable peakon. The generalized two-component system is shown to possess a Lax pair and infinitely many conservation laws. BiHamiltonian structures and peakon interactions are discussed in detail for typical representative equations of the generalized system. In particular, a new type of $N$-peakon solution, which is not in the traveling wave type, is obtained from the generalized system.