March 10, 2025

About the speaker

Dr. Senyue Lou is a distinguished professor at Ningbo University. He published over 300 research articles in peer-reviewed prestigious journals including Phys Rev Lett, J High Eng Phys, Phys Rev E etc. He won many NSFC grants including the well-known outstanding youth talent program

Peakons and pseudo-peakons of higher order CH-type b-family equations

The peakon equations have garnered significant attention due to their rich mathematical structure and potential applications in various physical contexts. In this study, we extend the well-known b-family system to a more general higher-order one with an arbitrary positive integer power J. We conjecture the existence of a b-independent pseudo-peakon solution. In addition to the b- independent pseudo-peakon solution, we conclude that there are one b- independent peakon, one b-dependent peakon (for odd J) or two b-dependent peakons (for even J), and J-3 (for odd J) or J-4 (for even J) complex peakons. This comprehensive analysis provides deeper insights into the structure and behavior of peakons and pseudo-peakons within the extended b-family framework.