New exact travelling wave solutions for the Kawahara and modified Kawahara equations |
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| Institution: | 1. Department of Mathematics, University of the Punjab, Lahore 54590, Pakistan;2. Department of Physics, Chemistry and Mathematics, Alabama A&M University, Normal, AL 35762, USA;3. Department of Mathematics and Statistics, Tshwane University of Technology, Pretoria 0008, South Africa;4. Deanship of Research and Graduate Studies, Applied Science University, PO Box 5055, Bahrain;5. School of Electronics and Information Engineering, Wuhan Donghu University, Wuhan 430212, People’s Republic of China;6. Science Program, Texas A&M University at Qatar, Doha PO Box 23874, Qatar |
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| Abstract: | By using the solutions of an auxiliary ordinary differential equation, a direct algebraic method is described to construct the exact travelling wave solutions for nonlinear evolution equations. By this method the Kawahara and the modified Kawahara equations are investigated and new exact travelling wave solutions are explicitly obtained with the aid of symbolic computation. |
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