On nonlinear diffusion equations with x-
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Changzheng Qu; P.G. EstΓ©vez
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Article
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2004
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Elsevier Science
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English
β 349 KB
For the 1+1-dimensional nonlinear di usion equations with x-dependent convection and source terms ut = (D(u)ux)x + Q(x; u)ux + P(x; u), we obtain conditions under which the equations admit the second-order generalized conditional symmetries Γ(x; u) = uxx + H (u)u 2 x + G(x; u)ux + F(x; u) and the ΓΏ