Kangalgil, F. (2016). Travelling wave solutions of the Schamel–Korteweg–de Vries and the Schamel equations. test, 24(4), 526-531. doi: 10.1016/j.joems.2016.01.007
Figen Kangalgil. "Travelling wave solutions of the Schamel–Korteweg–de Vries and the Schamel equations". test, 24, 4, 2016, 526-531. doi: 10.1016/j.joems.2016.01.007
Kangalgil, F. (2016). 'Travelling wave solutions of the Schamel–Korteweg–de Vries and the Schamel equations', test, 24(4), pp. 526-531. doi: 10.1016/j.joems.2016.01.007
Kangalgil, F. Travelling wave solutions of the Schamel–Korteweg–de Vries and the Schamel equations. test, 2016; 24(4): 526-531. doi: 10.1016/j.joems.2016.01.007

Travelling wave solutions of the Schamel–Korteweg–de Vries and the Schamel equations

Journal of the Egyptian Mathematical Society
Volume 24, Issue 4, 2016, Pages 526-531    PDF (377.89 K)
DOI: 10.1016/j.joems.2016.01.007
Author
Figen Kangalgil
Cumhuriyet University, Faculty of Science, Department of Mathematics, Sivas 58140, Turkey
Abstract
In this paper, the extended (G  /G)-expansion method has been suggested for constructing
travelling wave solutions of the Schamel–Korteweg–de Vries (s-KdV) and the Schamel equations
with aid of computer systems like Maple or Mathematica. The hyperbolic function solutions and the
trigonometric function solutions with free parameters of these equations have been obtained. More-
over, it has been shown that the suggested method is elementary, effective and has been used to solve
nonlinear evolution equations in applied mathematics, engineering and mathematical physics.
Keywords
Schamel–Korteweg–de Vries equation; Schamel equation; Travelling wave solutions
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