About the seventh-order Kaup-Kupershmidt equation and its solutions

Alvaro Salas (Universidad de Caldas , Universidad Nacional de Colombia , sede Manizales) , Jairo Ernesto Castillo Hernandez (Universidad Autonoma de Colombia , Bogota) , Jose Gonzalo Escobar Lugo (Universidad Cooperativa de Colombia

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classification 🧮 math-ph math.MP

keywords equationkaup-kupershmidtseventh-ordersolutionsansatzecole-hopfexactfunctions

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In this letter we obtain exact soliton and periodic solutions to the seventh-order Kaup-Kupershmidt equation. We make use of the Cole-Hopf transformation and two particular rational hyperbolic functions ansatze.

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About the seventh-order Kaup-Kupershmidt equation and its solutions

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