A discretization procedure of integrable nonlinear evolution equations preserving at the discrete level the integrability structure is proposed. As illustrative example the discrete Burger's hierarchy is analyzed. The possibility of extending this procedure to soliton equations is also briefly discussed.
A GEOMETRICAL APPROACH TO DISCRETIZATION OF NONLINEAR INTEGRABLE EVOLUTION-EQUATIONS .1. BURGER HIERARCHY
SALERNO, Mario
1984-01-01
Abstract
A discretization procedure of integrable nonlinear evolution equations preserving at the discrete level the integrability structure is proposed. As illustrative example the discrete Burger's hierarchy is analyzed. The possibility of extending this procedure to soliton equations is also briefly discussed.File in questo prodotto:
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