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Preprints, Working Papers, ... Year : 2021

Multi-parameters rational solutions to the mKdV equation

Abstract

N-order solutions to the modified Korteweg-de Vries (mKdV) equation are given in terms of a quotient of two wronskians of order N depending on 2N real parameters. When one of these parameters goes to 0, we succeed to get for each positive integer N , rational solutions as a quotient of polynomials in x and t depending on 2N real parameters. We construct explicit expressions of these rational solutions for orders N = 1 until N = 6.
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Dates and versions

hal-03251014 , version 1 (05-06-2021)

Identifiers

  • HAL Id : hal-03251014 , version 1

Cite

Pierre Gaillard. Multi-parameters rational solutions to the mKdV equation. 2021. ⟨hal-03251014⟩
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