GBDT and explicit solutions for the matrix coupled dispersionless equations (local and nonlocal cases)
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Publication:6322349
arXiv1907.08258MaRDI QIDQ6322349
Alexander L. Sakhnovich, Roman O. Popovych
Publication date: 18 July 2019
Abstract: We introduce matrix coupled (local and nonlocal) dispersionless equations, construct wide classes of explicit multipole solutions, give explicit expressions for the corresponding Darboux and wave matrix valued functions and consider their asymptotics in some interesting cases. We consider the scalar cases of coupled, complex coupled and nonlocal dispersionless equations as well.
Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Symmetries, invariants, etc. in context of PDEs (35B06)
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