In this paper, we study two-component evolutionary systems of the homogeneous KdV equation of the third order types (I) and (II). Trigonometric and hyperbolic function methods such as the sine-cosine method, the rational sine-cosine method, the rational sinh-cosh method, sech-csch method and rational tanh-coth method are used for analytical treatment of these systems. These methods, have the advantage of reducing the nonlinear problem to a system of algebraic equations that can be solved by computerized packages.
Alquran, Marwan; Al-Omary, Roba; and Katatbeh, Qutaibeh
New Explicit Solutions for Homogeneous Kdv Equations of Third Order by Trigonometric and Hyperbolic Function Methods,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 7,
1, Article 15.
Available at: https://digitalcommons.pvamu.edu/aam/vol7/iss1/15