A NONLINEAR TRANSFORMATION AND A BOUNDARY-INITIAL VALUE PROBLEM FOR A CLASS OF NONLINEAR CONVECTION-DIFFUSION EQUATIONS |
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| Authors: | Wang Mingliang |
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| Institution: | Wang Mingliang Department of Mathematics,Lanzhou University,Lanzhou 730000,China Jiang Shougui Department of Mathematics,Southeastern University,Nanjing 210096,China Bai Xue Department of Mathematics,Texas A and M University,College Station 778 |
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| Abstract: | With the aid of a nonlinear transformation, a class of nonlinear convection- diffusion PDE in one space dimension is converted into a linear one, the nnique solution of a nonlinear boundary-initial value problem for the nonlinear PDE can be exactly expressed by the nonlinear transformation, and several illustrative examples are given. |
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| Keywords: | Nonlinear transformation Convection-diffusion PDE Boundary-initial value problem exact explicit solutions |
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