Special Session 51: Integrable Aspects and Asymptotics of Nonlinear Evolution Equations

Variable Separation Approach and Abundant Nondegenerate Solitons

Ji Lin
Zhejiang Normal University
Peoples Rep of China
Co-Author(s):    Xueping Cheng
Abstract:
We propose to combine the bilinear method with the variable separation approach to study the nondegenerate multi-soliton solution of the two-component long-wave-short-wave resonance interaction system in (2+1) dimension. We successfully obtain N nondegenerate soliton general solutions for each shortwave component containing N arbitrary functions of the independent variable y. By containing arbitrary functions, rich soliton forms can be easily obtained.