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Soliton Shielding of the focusing modified KdV equation
Ruihong Ma, Engui Fan
We consider soliton gas solutions of the modified Korteweg-de Vries (mKdV) equation, where the point spectrum of the condensate is located within a bounded domain in the upper half…
math-ph2024
A Riemann-Hilbert approach to the two-component modified Camassa-Holm equation
Kai Xu, Luman Ju, Engui Fan
In this paper, we develop a Riemann-Hilbert (RH) approach to the Cauchy problem for the two-component modified Camassa-Holm (2-mCH) equation based on its Lax pair. Further via a se…