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The N-soliton solutions for the matrix modified Korteweg–de Vries equation via the Riemann–Hilbert approach

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This paper focus on seeking the N -soliton solutions for the matrix mKdV equation, which generalizes to the multi-component mKdV equations and the coupled mKdV equations. By utilizing the technique… Click to show full abstract

This paper focus on seeking the N -soliton solutions for the matrix mKdV equation, which generalizes to the multi-component mKdV equations and the coupled mKdV equations. By utilizing the technique of Riemann–Hilbert and investigating the spectral problem of the Lax pair, a class of Riemann–Hilbert problem will be discussed and established. Finally, in the case of irregularity and reflectionless, we derive the N -soliton solutions for a system of the matrix mKdV equation.

Keywords: riemann hilbert; soliton solutions; solutions matrix; matrix modified

Journal Title: European Physical Journal Plus
Year Published: 2020

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