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Title: | On the exact solutions, lie symmetry analysis, and conservation laws of Schamel-Korteweg-de Vries equation |
Authors: | Giresunlu, İlker Burak Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü. 0000-0002-1364-5137 0000-0003-4732-5753 Sağlam, Özkan Yeşim Yaşar, Emrullah AAG-9947-2021 G-5333-2017 57193338830 23471031300 |
Keywords: | Mathematics Conservation laws Exact solutions Lie groups Schamel–korteweg–de vries (S-KdV) equation Variational iteration method Partial-differential-equations Homotopy perturbatİon method Nonlinear-wave equations Examples Tanh Acoustic waves Algebra Lie groups Nonlinear equations Physical properties Conservation law Conservation theorem Exact solution Exact traveling wave solutions Korteweg-de vries Lie symmetry analysis Nonlinear interactions Simplest equation method Ion acoustic waves |
Issue Date: | 30-Jul-2017 |
Publisher: | Wiley |
Citation: | Giresunlu, İ. B. vd. (2017). ''On the exact solutions, lie symmetry analysis, and conservation laws of Schamel-Korteweg-de Vries equation''. Mathematical Methods in the Applied Sciences, 40(11), 3927-3936. |
Abstract: | In this work, we study the integrability aspects of the Schamel-Korteweg-de Vries equation that play an important role in studying the effect of electron trapping on the nonlinear interaction of ion-acoustic waves by including a quasi-potential. Lie symmetry analysis together with the simplest equation method and Kudryashov method is used to obtain exact traveling wave solutions for this equation. In addition, conservation laws are constructed using two different techniques, namely, the multiplier method and the new conservation theorem. Using the conservation laws and symmetries of the underlying equation, double reduction and exact solution were also constructed. |
URI: | https://doi.org/10.1002/mma.4274 https://onlinelibrary.wiley.com/doi/10.1002/mma.4274 1099-1476 http://hdl.handle.net/11452/30469 |
ISSN: | 0170-4214 |
Appears in Collections: | Scopus Web of Science |
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