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Variant Boussinesq equations; single-peak solitary wave; solitary wave; cuspon.

This paper presents all possible smooth, cusped solitary wave solutions for the variant Boussinesq equations under the inhomogeneous boundary condition. The parametric conditions for the existence of smooth, cusped solitary wave solutions are given using the phase portrait analytical technique. Asymptotic analysis and numerical simulations are provided for smooth, cusped solitary wave solutions of the variant Boussinesq equations.

Hong Li¹ Lilin Ma Dahe Feng

1. Department of Mathematics, Jiujiang University, Jiujiang 332005, People’s Republic of China

Published

June 2013