Soliton solutions to the fifth-order Korteweg - de Vries equation and their applications to surface and internal water waves

K. R. Khusnutdinova, Y. A. Stepanyants, M. R. Tranter

We study solitary wave solutions of the fifth-order Korteweg - de Vries equation which contains, besides the traditional quadratic nonlinearity and third-order dispersion, addition…