Abstract
Four higher-dimensional Lie algebras are introduced. With the help of their different loop algebras and the block matrices of Lax pairs for the zero curvature representations of two given integrable couplings, the two types of coupling integrable couplings of the AKNS hierarchy and the KN hierarchy are worked out, respectively, which fill up the consequences obtained by Ma and Gao (2009) [9]. The coupling integrable couplings of the AKNS hierarchy obtained in the paper again reduce to the coupling integrable couplings of the nonlinear Schrödinger equation and the modified KdV (mKdV) equation, which are different from the resulting results given by Ma and Gao.
Original language | English |
---|---|
Pages (from-to) | 76-85 |
Number of pages | 10 |
Journal | Communications in Nonlinear Science and Numerical Simulation |
Volume | 16 |
Issue number | 1 |
DOIs | |
Publication status | Published - Jan 2011 |
Scopus Subject Areas
- Numerical Analysis
- Modelling and Simulation
- Applied Mathematics
User-Defined Keywords
- Integrable couplings
- Lie algebra
- Zero curvature equation