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Symmetries and conservation laws of the classical Boussinesq equation
Authors:Masaaki Ito
Affiliation:Department of Applied Mathematics, Faculty of Engineering, Hiroshima University, Higashi-Hiroshima 724, Japan
Abstract:A recursion operator for the classical Boussinesq equation is given, which yields infinitely many symmetries and conservation laws. It is also shown that these symmetries define a hierarchy of the classical Boussinesq equation each of which is a hamiltonian system.
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