Abstract
The closed form solutions of the Kortewegde Vries (KdV) and modified MKdV equations which are obtainable by inverse scattering or Hirota's method are found to be Pade approximants to the formal series which results from iterating particular solutions of the linearized equation.
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Lambert, F. Pade approximants and closed form solutions of the KdV and MKdV equations. Z. Phys. C - Particles and Fields 5, 147–150 (1980). https://doi.org/10.1007/BF01576195
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DOI: https://doi.org/10.1007/BF01576195