A direct algebraic method applied to obtain complex solutions of some nonlinear partial differential equations |
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| Authors: | Huiqun Zhang |
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| Institution: | 1. Department of Mathematics, Faculty of Arts and Sciences, Uludag University, 16059, Bursa, Turkey;2. School of Electronics and Information Engineering, Wuhan Donghu University, Wuhan, 430212, PR China;3. Department of Mathematics and Statistics, Tshwane University of Technology, Pretoria, 0008, South Africa;4. Operator Theory and Applications Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, PO Box-80203, Jeddah, 21589, Saudi Arabia;5. Radiation Physics Laboratory, Department of Physics, Faculty of Sciences, Badji Mokhtar University, P. O. Box 12, 23000, Annaba, Algeria;6. Science Program, Texas A & M University at Qatar, PO Box 23874, Doha, Qatar |
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| Abstract: | By using some exact solutions of an auxiliary ordinary differential equation, a direct algebraic method is described to construct the exact complex solutions for nonlinear partial differential equations. The method is implemented for the NLS equation, a new Hamiltonian amplitude equation, the coupled Schrodinger–KdV equations and the Hirota–Maccari equations. New exact complex solutions are obtained. |
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