Stability of the Camassa-Holm solitons

@article{Constantin2002StabilityOT,
  title={Stability of the Camassa-Holm solitons},
  author={Adrian Constantin and Walter A. Strauss},
  journal={J. Nonlinear Science},
  year={2002},
  volume={12},
  pages={415-422}
}
obtained by Fuchssteiner and Fokas [9] by the method of recursion operators, is in dimensionless space-time variables (x, t) a model for the unidirectional propagation of shallow water waves over a flat bottom, u(t, x) representing the free surface and k > 0 being a parameter related to the critical shallow water speed; cf. [2]. Camassa and Holm [1] derived (1) from physical principles1 and constructed a Lax pair. Equation (1) is integrable ([2], [3], [8], [10]); it models permanent and… CONTINUE READING
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