A KdV-like advection–dispersion equation with some remarkable properties
نویسندگان
چکیده
منابع مشابه
A KdV-like advection-dispersion equation with some remarkable properties
We discuss a new non-linear PDE, ut + (2uxx/u)ux = uxxx , 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. This PDE (with dispersion coefficient unity) was discovered in a genetic programming search for equations sharing the KdV solitary wave solu...
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Two classes of rational solutions to a KdV-like nonlinear differential equation are constructed. The basic object is a generalized bilinear differential equation based on a prime number p 1⁄4 3. A conjecture is made that the two presented classes of rational solutions contain all rations solutions to the considered KdV-like equation, which are generated from polynomial solutions to the correspo...
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ژورنال
عنوان ژورنال: Communications in Nonlinear Science and Numerical Simulation
سال: 2012
ISSN: 1007-5704
DOI: 10.1016/j.cnsns.2012.03.001