The exact solutions for the nonisospectral AKNS hierarchy through the inverse scattering transform

Tong-ke Ning, Deng-yuan Chen and Da-jun Zhang

Physica A: Statistical Mechanics and its Applications, 2004, vol. 339, issue 3, 248-266

Abstract: Exact solutions for the nonisospectral AKNS hierarchy are obtained through the inverse scattering transform. Some explicit forms of these solutions are further given. Reductions are also considered. Exact solutions of some nonisospectral hierarchies, such as the nonisospectral mKdV hierarchy, the nonisospectral KdV hierarchy, the nonisospectral nonlinear Schrödinger hierarchy and the nonisospectral sine-Gordon hierarchy, are obtained.

Keywords: Exact solution; The nonisospectral AKNS hierarchy; The inverse scattering transform (search for similar items in EconPapers)
Date: 2004
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Citations: View citations in EconPapers (7)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:339:y:2004:i:3:p:248-266

DOI: 10.1016/j.physa.2004.03.021

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