A discrete negative AKNS equation: generalized Cauchy matrix approach |
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Authors: | Song-lin Zhao |
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Institution: | Department of Applied Mathematics, Zhejiang University of Technology Hangzhou, 310023, Zhejiang, P.R. China |
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Abstract: | 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 semidiscrete 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. |
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Keywords: | discrete negative AKNS equation solution continuum limit reduction |
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