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Exact Solutions of Hermitian Symmetric Space Derivative Nonlinear Schrödinger Equations

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A generalized matrix Darboux transformation (MDT) is constructed for the HSS-DNLSEs. Using the MDT, exact expressions of multiple solutions are constructed in the form of quasideterminants formula. By using particular… Click to show full abstract

A generalized matrix Darboux transformation (MDT) is constructed for the HSS-DNLSEs. Using the MDT, exact expressions of multiple solutions are constructed in the form of quasideterminants formula. By using particular solutions to the associated Lax pair, explicit expressions for one- and two-soliton solutions for different HSS-DNLSEs are computed. For each HSS-DNLSE we obtain constant, periodic and soliton solutions.

Keywords: solutions hermitian; symmetric space; derivative nonlinear; space derivative; exact solutions; hermitian symmetric

Journal Title: Journal of the Physical Society of Japan
Year Published: 2017

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