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摘要
Generalized Cauchy matrix approach is used to investigate a discrete negative Ablowitz-Kaup-Newell-Segur (AKNS) equation. Several kinds of solutions more than multi-soliton solutions to this equation are derived by solving determining equation set. Furthermore, applying an appropriate continuum limit we obtain a semi-discrete negative AKNS equation and after a second continuum limit we derive the nonlinear negative AKNS equation. The reductions to discrete, semi-discrete and continuous sine-Gordon equations are also discussed.
- 出版日期2016
- 单位浙江工业大学
