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On a certain class of a nonlinear evolution partial differential equations |
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| Authors: | S Mesloub HA Abdusalam |
| Institution: | aKing Saud University, College of Science, Mathematics Department, Kingdom of Saudi Arabia, P.O. Box 2455, Riyadh 11451, Saudi Arabia bMathematics Department, Faculty of Science, Cairo University, Giza, Egypt |
| Abstract: | An existence result and a priori bound for the solution of a second-order nonlinear parabolic equation are established. Also a generalized tanh-function method is used for constructing exact travelling wave solutions for the nonlinear diffusion equation of Fisher type originated from the considered partial differential equation. And new multiple soliton solutions are obtained. |
| Keywords: | Reaction diffusion equation A priori estimate tanh-Function method Fisher equation Soliton solutions |
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