A note on the homogeneous balance method |
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| Affiliation: | 1. Department of Physics and Engineering Mathematics, Higher Institute of Engineering, El-Shorouk, Cairo, Egypt;2. Mathematics Department, Faculty of Science and Arts, Taibah University, Al-Ula, Saudi Arabia;3. Mathematics Department, Faculty of Science, Beni-Suef University, Egypt;4. Department of Mathematics and Statistics, College of Science, Al-Imam Mohammad Ibn Saud Islamic University, Riyadh 13318, Saudi Arabia;5. Department of Mathematics and Statistics, Tshwane University of Technology, Pretoria 0008, South Africa;1. Department of Physics, Chemistry and Mathematics, Alabama A&M University, Normal, AL 35762, USA;2. Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia;3. Department of Mathematics and Statistics, Tshwane University of Technology, Pretoria 0008, South Africa;4. Department of Mathematics, Faculty of Arts and Sciences, Uludag University, 16059 Bursa, Turkey;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, PO Box 23874, Doha, Qatar;1. School of Medical Informatics and Engineering, Xuzhou Medical University, 209 Tongshan Road, 221004, Xuzhou, Jiangsu Province, PR China;2. Department of Basic Science, Obour High Institute for Engineering and Technology, 11828, Cairo, Egypt |
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| Abstract: | Based on the idea of the homogeneous balance method, a simple and efficient method is proposed for obtaining exact solutions of nonlinear partial differential equations. Some equations are investigated by this means and new solitary wave solutions or singular traveling wave solutions are found. |
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