For the modified Camassa-Holm equation, densely packed N-soliton solutions aggregate into a one-soliton, n-soliton, or line-distribution state as N→∞, depending on the region containing the discrete spectral points.
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On the $N_\infty$-soliton asymptotics for the modified Camassa-Holm equation with linear dispersion and vanishing boundaries
For the modified Camassa-Holm equation, densely packed N-soliton solutions aggregate into a one-soliton, n-soliton, or line-distribution state as N→∞, depending on the region containing the discrete spectral points.