Special Session 20: Lie Symmetries, Conservation Laws, and Other Approaches in Solving Nonlinear Differential Equations
Reduced integable equations and Darboux transformations
Wen-Xiu Ma
University of South Florida USA
Co-Author(s):
Abstract:
We will explore new integrable equations via similarity transformations. Lax pairs will be used to derive reduced integrable equations, their binary Darboux transformations, and soliton solutions generated from the zero seed.
Representative examples include reduced matrix nonlinear Schr\"odinger equations and modified Korteweg-de Vries equations.