A KdV-like advection-dispersion equation with some remarkable properties

17 Sep 2011Abhijit SenDilip P. AhalparaAnantanarayanan ThyagarajaGovind S. Krishnaswami

We discuss a new non-linear PDE, u_t + (2 u_xx/u) u_x = epsilon u_xxx, invariant under scaling of dependent variable and referred to here as SIdV. It is one of the simplest such translation and space-time reflection-symmetric first order advection-dispersion equations... (read more)

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