Special Session 7: Lie Symmetries, Conservation Laws, and Other Approaches in Solving Nonlinear Differential Equations
Nonlocal integrability and solitons
Wen-Xiu Ma
University of South Florida USA
Co-Author(s):
Abstract:
We will explore integrable models involving involution points. Classical Lax pairs are employed to derive nonlocal integrable models and their associated Riemann-Hilbert problems. Soliton solutions are obtained through reflectionless Riemann-Hilbert problems. Novel solution phenomena will also be discussed within the nonlocal framework.