Asymptotic behaviour of solutions of am evolution equations system in the AKNS hierarchy.
DOI:
https://doi.org/10.5433/1679-0375.1996v17n4p365Keywords:
Evolution equations, global solutions, AKNS hierarchy.Abstract
A system of nonlinear evolution equations with global solutions for small data is considered. We prove that the solutions are asymptotic to solutions of the linear problem when the time goes to infinity. Moreover, we investigate the problem of finding nonlinear solutions asymptotic to given linear solutions.
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