New explicit and exact travelling wave solutions for a system of variant Boussinesq equations in mathematical physics |
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| Institution: | 1. Department of Technology, XFAB Sarawak Sdn Bhd, 1 Silicon Drive, Sama Jaya Free Industrial Zone, 93250 Kuching, Sarawak, Malaysia;2. Engineering Department, University of Cambridge, Cambridge CB2 1PZ, United Kingdom;3. Department of Electronics Engineering, Faculty of Engineering, University of Sarawak, Malaysia, 93400 Kota Samarahan, Sarawak, Malaysia;1. Centre for Nonlinear Dynamics, School of Physics, Bharathidasan University, Tiruchirappalli, 620024, Tamilnadu, India;2. Centre for Nonlinear Science and Engineering, School of Electrical and Electronics Engineering, SASTRA University, Thanjavur, 613401, Tamilnadu, India;3. SNS Institutions, Coimbatore, 641049, Tamilnadu, India;1. Courant Institute of Mathematical Sciences, New York University, 251 Mercer Street, New York, NY, 10012, USA;2. Department of Mathematics, University of Arizona, Tucson, AZ, 85791, USA;3. Department of Mathematics, University of Illinois, Urbana-Champaign, IL, 61801, USA;1. Center for Applied Mathematics, Tianjin University, Tianjin 300072, China;2. College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610068, China;3. Institute of Applied Physics and Computational Mathematics, Beijing 100088, China;4. College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610068, China |
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| Abstract: | With the aid of Mathematica, we obtain several types of explicit and exact travelling wave solutions to a system of variant Boussinesq equations by using an improved sine-cosine method and the Wu elimination method. These solutions contain Wang's results and other types of solitary wave solutions and new solutions. The method can also be applied to solve more systems of nonlinear partial differential equations, such as the coupled KdV equations. |
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