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1. Quasi-periodic solutions for the derivative nonlinear Schrödinger equation with finitely differentiable nonlinearities.

Author

Gao, Meina and Zhang, Kangkang

Subjects
*BOUNDARY value problems, *APPROXIMATION theory, *SCHRODINGER equation, *EXISTENCE theorems, *MATHEMATICAL variables
Abstract

The authors are concerned with a class of derivative nonlinear Schrödinger equation subject to Dirichlet boundary condition, where the nonlinearity f( z , z , ϕ) is merely finitely differentiable with respect to all variables rather than analytic and quasi-periodically forced in time. By developing a smoothing and approximation theory, the existence of many quasi-periodic solutions of the above equation is proved. [ABSTRACT FROM AUTHOR]

Published
2017
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