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Preprints, Working Papers, ... Year : 2020

From first to fourth order rational solutions to the Boussinesq equation

Abstract

Rational solutions to the Boussinesq equation are constructed as a quotient of two polynomials in x and t. For each positive integer N , the numerator is a polynomial of degree N (N + 1) − 2 in x and t, while the denominator is a polynomial of degree N (N + 1) in x and t. So we obtain a hierarchy of rational solutions depending on an integer N called the order of the solution. We construct explicit expressions of these rational solutions for N = 1 to 4.
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Dates and versions

hal-02500568 , version 1 (06-03-2020)

Identifiers

  • HAL Id : hal-02500568 , version 1

Cite

Pierre Gaillard. From first to fourth order rational solutions to the Boussinesq equation. 2020. ⟨hal-02500568⟩
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