Abstract
In this paper, we consider the (2+1)-dimensional discrete fourth-order nonisospectral problem. By using the Lax technique, three new (2+1)-dimensional nonisospectral four-field integrable lattice hierarchies are constructed. Their reductions yield three (1+1)-dimensional isospectral four-field integrable lattice hierarchies due to Mlaszak-Marciniak. We make a comparison between the (1+1)-dimensional discrete fourth-order nonisospectral problem and the third-order nonisospectral problem. We found that the integrable lattice hierarchies related to the discrete fourth-order nonisospectral problem have new characteristics.
| Original language | English |
|---|---|
| Pages (from-to) | 13031-13045 |
| Number of pages | 15 |
| Journal | Journal of Physics A: Mathematical and Theoretical |
| Volume | 40 |
| Issue number | 43 |
| DOIs | |
| Publication status | Published - 26 Oct 2007 |
Scopus Subject Areas
- Statistical and Nonlinear Physics
- Statistics and Probability
- Modelling and Simulation
- Mathematical Physics
- General Physics and Astronomy