A new form of general soliton solutions and multiple zeros solutions for a higher-order Kaup-Newell equation
Jinyan Zhu,
Yong Chen
Abstract:Due to higher-order Kaup-Newell (KN) system has more complex and diverse solutions than classical second-order flow KN system, the research on it has attracted more and more attention. In this paper, we consider a higher-order KN equation with third order dispersion and quintic nonlinearity. Based on the theory of the inverse scattering, the matrix Riemann-Hilbert problem is established. Through the dressing method, the solution matrix with simple zeros without reflection is constructed. In particular, a new f… Show more
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