Solitons solutions for some nonlinear evolution equations

Abstract In this paper, we establish new solitary wave solutions to the modified Kawahara equation by the sine–cosine method. Moreover, the periodic solutions and bell-shaped solitons solutions to the generalized fifth-order KdV equation are obtained. The tanh method is used to handle the double sine-Gordon equation and the double sinh-Gordon equation. Families of exact travelling wave solutions are formally derived. The rational triangle sine–cosine method is introduced and to be constructed complex solutions to the modified Degasperis–Procesi (DP) equation and the modified Camassa–Holm (CH) equation.

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