Browsing by Subject "Mathematical physics"
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Article
Classification of potential symmetries of generalised inhomogeneous nonlinear diffusion equations
(2003)We consider the class of generalised nonlinear diffusion equations f(x)ut = [g(x)unux]x which are of considerable interest in mathematical physics. We classify the nonlocal symmetries, which are known as potential symmetries, ...
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Article
Numerical similarity reductions of the (1+3)-dimensional Burgers equation
(2011)We consider the (1+3)-dimensional Burgers equation ut = u xx + uyy + uzz + uux which has considerable interest in mathematical physics. Lie symmetries are used to reduce it to certain ordinary differential equations. We ...
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Article
Similarity reductions of the (1 + 3)-dimensional Burgers equation
(2009)We consider the (1 + 3)-dimensional Burgers equation ut = uxx + uyy + uzz + uux which has considerable interest in mathematical physics. We complete the list of similarity reductions that are obtained from the Lie symmetries ...