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nlin.SI2019★ 27 cited
Solutions to the Kaup--Broer System and Its 2+1 Dimensional Integrable Generalization via the Dressing Method
Patrik V. Nabelek, Vladimir E. Zakharov
In this paper we formulate the nonlocal dbar problem dressing method of Manakov and Zakharov [28, 29, 27] for the 4 scaling classes of the 1+1 dimensional Kaup--Broer system [7, 13…
nlin.SI2019
Algebro-Geometric Finite Gap Solutions to the Korteweg--de Vries Equation as Primitive Solutions
Patrik V. Nabelek
In this paper we show that all algebro-geometric finite gap solutions to the Korteweg--de Vries equation can be realized as a limit of N-soliton solutions as N diverges to infinity…