Characters of explicit solutions for a semidiscrete integrable coupled equation. (English) Zbl 1481.39018
Summary: A semidiscrete integrable coupled system is obtained by embedding a free function into the discrete zero-curvature equation. Then, explicit solutions of the first two nontrivial equations in this system are derived directly by the Darboux transformation method. Finally, in order to compare the solutions before and after coupling intuitively, their structure figures are presented and analyzed.
MSC:
| 39A36 | Integrable difference and lattice equations; integrability tests |
| 37K60 | Lattice dynamics; integrable lattice equations |
Keywords:
semidiscrete integrable coupled system; discrete zero-curvature equation; Darboux transformation methodReferences:
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