Analytic study for fifth-order KdV-type equations with arbitrary power nonlinearities |
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| Institution: | 1. Department of Electerical and Computer Engineering, Semnan, Iran;2. Faculty of Electerical and Computer Engineering, Semnan, Iran;1. Department of Civil and Environmental Engineering, Hanyang University, 222 Wangsimni-ro, Seongdong-gu, Seoul 133-791, Republic of Korea;2. Department of Civil Engineering, Kangwon National University, 346 Joongang-ro, Samcheok, Kangwon Province 245-711, Republic of Korea |
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| Abstract: | In this work we use the sine–cosine and the tanh methods for analytic study for higher-order KdV-type equations with arbitrary power nonlinearities. Exact solutions of distinct physical structures: solitons, compactons, periodic and solitary patterns, are derived. The study shows the power of the two schemes and presents a comparison between these two methods. |
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