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Riemann-Hilbert approach and N-soliton formula for coupled derivative Schrödinger equation
Boling Guo, Liming Ling
Source abstract
The coupled derivative Schrödinger equation is studied in the framework of the Riemann-Hilbert problem and a compact N-soliton solution formula is found. Taking advantage of this result, some properties for single soliton solution and asymptotic analysis of N-soliton solution are explored. As a by-product, a coupled Fokas-Lenells equation together its N-soliton solution is presented.
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