Solutions to the Kaup-Broer system and its \((2+1)\) dimensional integrable generalization via the dressing method
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Publication:2125591
DOI10.1016/j.physd.2020.132478zbMath1486.35124arXiv1909.04804OpenAlexW3013935457MaRDI QIDQ2125591
Patrik V. Nabelek, Vladimir E. Zakharov
Publication date: 14 April 2022
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1909.04804
dressing methodN-soliton solutionscompletely integrable partial differential equationnon-capillary waves with gravitational forcingnonlocal dbar problem
Related Items (7)
On solutions to the nonlocal \(\overline{\partial}\)-problem and (2+1) dimensional completely integrable systems ⋮ The Boussinesq systems on the background of a line solitary wave ⋮ Commutator identities and integrable hierarchies ⋮ The ∂̄-dressing method and soliton solutions for the three-component coupled Hirota equations ⋮ Broer-Kaup system with corrections via inverse scattering transform ⋮ On the \(\bar\partial \)-problem and dressing method for the complex vector modified KdV equation ⋮ Algebro-geometric finite gap solutions to the Korteweg-de Vries equation as primitive solutions
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