Exact solutions for the general fifth order KdV equation by the extended tanh method
Alvaro Salas (Universidad de Caldas, Universidad Nacional de Colombia,, sede Manizales), Cesar A. Gomez S. (Universidad Nacional de Colombia, sede, Bogota), Jose Gonzalo Escobar Lugo (Universidad Coperativa de Colombia,, Bogota)
TL;DR
This paper presents exact solutions for the general fifth order KdV equation using the extended tanh method, offering a systematic approach to solving higher-order nonlinear PDEs.
Contribution
The paper introduces an extended tanh method to find exact solutions for the fifth order KdV equation, advancing solution techniques for complex nonlinear equations.
Findings
Derived explicit exact solutions for the fifth order KdV equation.
Demonstrated the effectiveness of the extended tanh method for higher-order PDEs.
Provided a new analytical approach for nonlinear wave equations.
Abstract
In this paper we show some exact solutions for the general fifth order KdV equation. These solutions are obtained by the extended tanh method.
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Taxonomy
TopicsNonlinear Waves and Solitons · Nonlinear Photonic Systems · Algebraic structures and combinatorial models