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On the exact solutions, lie symmetry analysis, and conservation laws of Schamel–Korteweg–de Vries equation
Author(s) -
Giresunlu İ. B.,
Özkan Y. Sağlam,
Yaşar E.
Publication year - 2017
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.4274
Subject(s) - conservation law , mathematics , korteweg–de vries equation , homogeneous space , symmetry (geometry) , nonlinear system , traveling wave , reduction (mathematics) , work (physics) , mathematical physics , partial differential equation , mathematical analysis , physics , quantum mechanics , geometry
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. Copyright © 2017 John Wiley & Sons, Ltd.