On the exact solutions, lie symmetry analysis, and conservation laws of Schamel–Korteweg–de Vries equation

Giresunlu I. B. , Ozkan Y., Yasar E.

Mathematical Methods in the Applied Sciences, vol.40, no.11, pp.3927-3936, 2017 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 40 Issue: 11
  • Publication Date: 2017
  • Doi Number: 10.1002/mma.4274
  • Journal Name: Mathematical Methods in the Applied Sciences
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.3927-3936
  • Keywords: Lie groups, exact solutions, Schamel-Korteweg-de Vries (S-KdV) equation, conservation laws, VARIATIONAL ITERATION METHOD, PARTIAL-DIFFERENTIAL-EQUATIONS, HOMOTOPY PERTURBATION METHOD, NONLINEAR-WAVE EQUATIONS, EXAMPLES, TANH
  • Bursa Uludag University Affiliated: Yes

Abstract

Copyright © 2017 John Wiley & Sons, Ltd.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.