On the Behavior of Solutions of a Class of Nonlinear Partial Differential Equations |
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Authors: | Abdel-Gawad H I |
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Institution: | (1) Department of Mathematics, Faculty of Science, Cairo University, Cairo, Egypt |
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Abstract: | The behavior of the steady-state (or the traveling wave) solutions for a class of nonlinear partial differential equations is studied. The nonlinearity in these equations is expressed by the presence of the convective term. It is shown that the steady-state (or the traveling wave) solution may explode at a finite value of the spatial (or the characteristic) variable. This holds whatever the order of the spatial derivative term in these equations. Furthermore, new special solutions of a set of equations in this class are also found. |
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Keywords: | qualitative behaviors a class of nonlinear partial differential equations |
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