V.M. Galkin, D.E. Pelinovsky, and Yu.A. Stepanyants
The structure of the rational solutions to the Boussinesq equation
Physica D 80, 246-255 (1995)
Abstract:
Rational solutions of the one-dimensional Boussinesq equation
both with zero and nonzero boundary conditions at the infinity
are obtained by reducing the known
solutions of the Kadomtsev-Petviashvili equation. The structure
of the found solutions generalizes a family of rational solutions
to the Korteweg-de Vries equation to
the case of two-wave processes.
Keywords:
KADOMTSEV-PETVIASHVILI EQUATION, WRONSKIAN TECHNIQUE,
KORTEWEG-DE VRIES EQUATION