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Dissipative behavior of some fully non-linear KdV-type equations
KdV-type equations Finite-difference methods Nonlinear dynamics
2015/10/8
The KdV equation can be considered as a special case of the general equationutCf .u/x−g.uxx/x D 0;> 0;wheref is
non-linear andg is linear, namelyf .u/ D u2=2 andg.v/ D v. As the parameter t...
The Schwarzian variable associated with discrete KdV-type equations
Exactly Solvable and Integrable Systems (nlin.SI)
2010/11/10
We present a new construction related to systems of polynomials which are consistent on a cube. The consistent polynomials underlie the integrability of discrete counterparts of integrable partial dif...