Modified homogeneous balance method: Applications and new solutions |
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| Institution: | 1. School of Mathematical Sciences, Dalian University of Technology, Dalian, 116024, Liaoning, China;2. Department of Mathematics, Zhejiang Normal University, Jinhua, 321004, Zhejiang, China;3. Department of Mathematics and Statistics, University of South Florida, Tampa, FL 33620-5700, USA;4. School of Mathematics, South China University of Technology, Guangzhou, 510640, Guangdong, China;5. College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao, 266590, Shandong, China;6. Department of Mathematical Sciences, North-West University, Mafikeng Campus, Private Bag X2046, Mmabatho 2735, South Africa;7. School of Software, Dalian University of Technology, Dalian, 116620, Liaoning, China;1. State Key Laboratory of Information Photonics and Optical Communications, and School of Science, Beijing University of Posts and Telecommunications, P. O. Box 122, Beijing 100876, China;2. School of Electronics and Information Engineering, Wuhan Donghu University, Wuhan 430212, China;3. Department of Physics, Chemistry and Mathematics, Alabama A&M University, Normal, AL 35762–7500, USA;4. Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia;5. Department of Applied Mathematics, National Research Nuclear University, Kashirskoe Shosse, Moscow 115409, Russian Federation;6. Department of Mathematics and Statistics, Tshwane University of Technology, Pretoria 0008, South Africa;1. Department of Mathematics, University of Engineering and Technology, Pakistan;2. Department of Mathematics, Namal Institute, Talagang Road, Mianwali 42250, Pakistan;3. Department of Mathematics, Forman Christian College – A Chartered University(FCCU), Lahore, Pakistan |
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| Abstract: | This work is devoted to application of the modified homogeneous balance method to obtain generalized bilinear forms of some well-known soliton equations: the Korteweg de Vries equation, the scalar Boussinesq equation and the Kaup–Boussinesq equations. These bilinear forms are solved for new solutions using the perturbation method and the principle of superposition. |
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