Abstract
In this paper, we obtain one and two soliton solutions to Hirota-Satsuma KdV system with the aid of tanh method and the multiple exp method. We also obtain some rational solutions by using a rational ansatz. The system Hirota-Satsuma KdV system is reduced to a single nonlinear partial differential equation which is solved by the described methods. Key words: Hirota-Satsuma KdV system, tanh method, multiple exp method one soliton solution, two soliton solution, HS coupled system.
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