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Browsing by Subject "(2+1)-dimensional Sawada-Kotera (SK) equation"

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    Multiple exp-function method for soliton solutions of nonlinear evolution equations
    (IOP Publishing, 2017-06) Yıldırım, Yakup; Yaşar, Emrullah; Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü.; 0000-0003-4732-5753; AAG-9947-2021; 56988856400; 23471031300
    We applied the multiple exp-function scheme to the (2+1)-dimensional Sawada-Kotera (SK) equation and (3+1)-dimensional nonlinear evolution equation and analytic particular solutions have been deduced. The analytic particular solutions contain one-soliton, two-soliton, and three-soliton type solutions. With the assistance of Maple, we demonstrated the efficiency and advantages of the procedure that generalizes Hirota's perturbation scheme. The obtained solutions can be used as a benchmark for numerical solutions and describe the physical phenomena behind the model.