Affiliation:
1. Department of Applied Mathematics Zhejiang University of Technology Hangzhou P.R. China
2. Department of Mathematics Zhejiang University of Science and Technology Hangzhou P.R. China
Abstract
AbstractIn this paper, we investigate local and nonlocal reductions of a discrete negative order Ablowitz–Kaup–Newell–Segur equation. By the bilinearization reduction method, we construct exact solutions in double Casoratian form to the reduced nonlocal discrete sine‐Gordon equations. Then, nonlocal semidiscrete sine‐Gordon equations and their solutions are obtained through the continuum limits. The dynamics of soliton solutions are analyzed and illustrated by asymptotic analysis. The research ideas and methods in this paper can be generalized to other nonlocal discrete integrable systems.
Funder
Natural Science Foundation of Zhejiang Province
National Natural Science Foundation of China
Cited by
2 articles.
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