Affiliation:
1. College of Mathematics Science, Inner Mongolia Normal University, Hohhot 010022, P. R. China
Abstract
A generalized [Formula: see text] matrix spectral problem is investigated to generate two five-component nonlinear integrable systems, which involve an arbitrary smooth function. These systems are proven integrable in the sense of Lax pair. As the reduction cases, a four-component reaction diffusion equation and a four-component modified Korteweg-de Vries (mKdV) equation are solved by Darboux transformation approach.
Funder
National Natural Science Foundation of China
the Graduate Students' Scientific Research Innovation Fund Program of Inner Mongolia Normal University
Natural Science Foundation of Inner Mongolia Autonomous Region, China
Publisher
World Scientific Pub Co Pte Lt
Subject
Condensed Matter Physics,Statistical and Nonlinear Physics