Geodesic
Integrable Boundary Value Problem for the Boussinesq Equation
Teoretičeskaâ i matematičeskaâ fizika, Tome 141 (2004) no. 2, pp. 192-207 Cet article a éte moissonné depuis la source Math-Net.Ru

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We discuss a method for seeking integrable boundary conditions for nonlinear equations. For the Boussinesq equation, we find a new boundary condition that is compatible with the Lax pair and has an infinite set of higher symmetries and a Bäcklund transformation. We construct a class of explicit partial solutions of an equation satisfying this boundary condition.
Keywords: integrability, boundary condition, Bäcklund transformation, higher symmetries
Mots-clés : Boussinesq equation. 
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A. N. Vil'danov. Integrable Boundary Value Problem for the Boussinesq Equation. Teoretičeskaâ i matematičeskaâ fizika, Tome 141 (2004) no. 2, pp. 192-207. http://geodesic.mathdoc.fr/item/TMF_2004_141_2_a2/

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