Soliton Solutions of the Kaup-Kupershmidt and Sawada-Kotera Equations
Abstract
In this paper I seek soliton solutions of two-component generalizations of the Kaup- Kupershmidt and Sawada-Kotera equations, for this purpose I will apply the extended tanh method. The extended tanh method with a computerized symbolic computation, is used for constructing the travelling wave solutions of coupled nonlinear equations arising in physics. The obtained solutions include soliton, kink and plane periodic solutions. KeyWords: Soliton Solutions; Kaup-Kupershmidt Equation; Sawada-Kotera Equation
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Studies in Mathematical Sciences