Symbolic computation and new families of exact non-travelling wave solutions of (2 + 1)-dimensional Konopelchenko–Dubrovsky equations |
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| Affiliation: | 1. Raja Ramanna Fellow, Indian Institute of Science Education and Research, Pune 411021, India;2. Post Graduate and Research Department of Physics, Bishop Heber College, Tiruchirapalli 620 017, Tamil Nadu, India;1. School of Electronics and Information Engineering, Wuhan Donghu University, Wuhan 430212, People''s Republic of China;2. Department of Mathematics, Faculty of Science and Arts, Bozok University, 66100 Yozgat, Turkey;3. Department of Engineering Sciences, Faculty of Technology and Engineering, East of Guilan, University of Guilan, PC 44891-63157 Rudsar-Vajargah, Iran;1. Radiation Physics Laboratory, Department of Physics, Faculty of Sciences, Badji Mokhtar University, P. O. Box 12, 23000 Annaba, Algeria;2. School of Electronics and Information Engineering, Wuhan Donghu University, Wuhan–430212, People''s Republic of China;3. Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah–21589, Saudi Arabia;4. Department of Physics, Chemistry and Mathematics, Alabama A&M University, Normal, AL 35762–4900, USA;5. Mathematical Modeling and Applied Computation (MMAC) Research Group, Department of Mathematics, King Abdulaziz University, Jeddah–21589, Saudi Arabia;6. Department of Applied Mathematics, National Research Nuclear University, 31 Kashirskoe Hwy, Moscow 115409, Russian Federation;7. Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Medunsa, Pretoria 0204, South Africa;8. Department of Mathematics, Faculty of Arts and Sciences, Near East University, 99138 Nicosia, Cyprus;9. Department of Mathematics, King Abdulaziz University, Jeddah–21589, Saudi Arabia;10. Science Program, Texas A&M University at Qatar, PO Box 23874, Doha, Qatar |
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| Abstract: | The improved tanh function method [Chaos, Solitons & Fractals 2005;24:257] is further improved by constructing new ansatz solution of the considered equation. As its application, the (2 + 1)-dimensional Konopelchenko–Dubrovsky equations are considered and abundant new exact non-travelling wave solutions are obtained. |
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