• TRAVELING WAVE SOLUTIONS FOR SOME NONLINEAR EVOLUTION EQUATIONS BY THE EXTENDED MAPPING METHOD

J. F. Alzaidy*

Abstract


In the present article, we construct the exact traveling wave solutions of nonlinear PDEs in mathematical physics via the Kaup-Kupershmidt (KK) equation and the Hirota-Satsuma KdV (HS-KdV)system by using the extended mapping method and auxiliary equation method. This method is more powerful and will be used in further works to establish more entirely new solutions for other kinds of nonlinear partial differential equations arising in mathematical physics.

Keywords Extended method, Auxiliary equation method, KK equation, HS-KdV system, Traveling wave solutions.

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