Affiliation:
1. Faculty of Mathematics, University of Vienna, Oskar-Morgenstern-Platz 1, A-1090 Vienna, Austria
Abstract
Abstract
We introduce matrix coupled (local and non-local) dispersionless equations, construct GBDT (generalized Bäcklund-Darboux transformation) for these equations, derive wide classes of explicit multipole solutions, give explicit expressions for the corresponding Darboux and wave matrix valued functions and study their asymptotics in some interesting cases. We consider the scalar cases of coupled, complex coupled and non-local dispersionless equations as well.
Publisher
Oxford University Press (OUP)
Reference44 articles.
1. A generalization of coupled integrable dispersionless system;Kakuhata,;J. Phys. Soc. Jpn.,1996
2. New coupled integrable dispersionless equations;Konno,;J. Phys. Soc. Jpn.,1994
3. Integrable nonlocal nonlinear equations;Ablowitz,;Stud. Appl. Math.,2017
4. Solutions of nonlocal equations reduced from the AKNS hierarchy;Chen,;Stud. Appl. Math.,2018
5. Geometric formulation and multi-dark soliton solution to the defocusing complex short pulse equation;Feng,;Stud. Appl. Math.,2017
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献