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Research Paper | Mathematics | Libya | Volume 5 Issue 4, April 2016
The Extended Sech Function Method and The Cole-Hopf Transformation for Solving the Nonlinear Korteweg-de Vries Equation
M. M. El-Horbaty [2] | F. M. Ahmed [2]
Abstract: In this paper, we are using the extended sech function method along with a type of cole-Hopf transformation to obtain the solutions for the nonlinear Korteweg de Vries (KdV) equation. These types of solutions are represented as the hyperbolic function solutions including the solitary wave solution, shock wave solution and trigonometric function solution when the modulus approaches to 1 and 0. Mathematica software is used in calculation and graphics.
Keywords: Cole-Hopf transformation, Extended Sech function, Korteweg de Vries KdV equation, Solitary travelling wave solutions
Edition: Volume 5 Issue 4, April 2016,
Pages: 1598 - 1602
Similar Articles with Keyword 'transformation'
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Research Paper, Mathematics, Nigeria, Volume 11 Issue 12, December 2022
Pages: 1054 - 1059Application of GeoGebra in Model Based Learning and Students' Academic Performance in Solid Geometry
Ekemini T. Akpan [2] | Gladys I. Charles-Ogan | Edith C. Onyeka | Godwin D. James
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Research Paper, Mathematics, Nigeria, Volume 12 Issue 6, June 2023
Pages: 1741 - 1743Transformation of Parabolic Partial Differential Equations into Heat Equation Using Hopf Cole Transform
Onuoha N. O.