The paper derives the long-time asymptotic behavior of a KdV soliton gas for generalized reflection coefficients with endpoint power laws and an interior singularity or jump discontinuity.
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Long-time asymptotics for the $N_{\infty}$-soliton solution to the KdV equation with two types of generalized reflection coefficients
The paper derives the long-time asymptotic behavior of a KdV soliton gas for generalized reflection coefficients with endpoint power laws and an interior singularity or jump discontinuity.