The Improved Generalized tanh-coth Method Applied to Sixth-Order Solitary Wave Equation

The improved generalized tanh-coth method is used in nonlinear sixth-order solitary wave equation. This method is a powerful and advantageous mathematical tool for establishing abundant new traveling wave solutions of nonlinear partial differential equations. The new exact solutions consisted of tri...

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Bibliographic Details
Published in:Journal of mathematics (Hidawi) 2017-01, Vol.2017 (2017), p.1-11
Main Authors: Somaumchan, T., Saennuad, D., Simmapim, J., Torvattanabun, M.
Format: Article
Language:English
Subjects:
Algebra
Applied mathematics
Exact solutions
Exponential functions
Functions (mathematics)
Hyperbolic functions
Mathematics
Nonlinear differential equations
Nonlinear equations
Ordinary differential equations
Partial differential equations
Physics
Rational functions
Solid state physics
Symmetry
Trigonometric functions
Wave equations
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Summary:The improved generalized tanh-coth method is used in nonlinear sixth-order solitary wave equation. This method is a powerful and advantageous mathematical tool for establishing abundant new traveling wave solutions of nonlinear partial differential equations. The new exact solutions consisted of trigonometric functions solutions, hyperbolic functions solutions, exponential functions solutions, and rational functions solutions. The numerical results were obtained with the aid of Maple.
ISSN:2314-4629
2314-4785
DOI:10.1155/2017/8751097