%0 Journal Article %T Some new soliton solutions for the nonlinear the fifth-order integrable equations %J Computational Methods for Differential Equations %I University of Tabriz %Z 2345-3982 %A Lakestani, Mehrdad %A Manafian, Jalil %A Najafizadeh, Ali Reza %A Partohaghighi, Mohammad %D 2022 %\ 04/01/2022 %V 10 %N 2 %P 445-460 %! Some new soliton solutions for the nonlinear the fifth-order integrable equations %K Improved tanh(ϕ/2)-expansion method %K Fifth-order integrable equations %K Soliton wave solution %R 10.22034/cmde.2020.30833.1462 %X ‎In this work‎, ‎we established some exact solutions for the‎ $(1+1)$-dimensional and $(2+1)$-dimensional fifth-order integrable‎ equations ($(1+1)$D and $(2+1)$D FOIEs) which is considered based on‎ the improved $\tanh(\phi(\xi)/2)$ expansion method (IThEM)‎, ‎by‎ utilizing Maple software‎. ‎We obtained new periodic solitary wave‎ ‎solutions‎. ‎The obtained solutions include soliton‎, ‎periodic‎, ‎kink‎, kink-singular wave solutions‎. ‎Comparing our new results with Wazwaz‎ results‎, ‎namely‎, ‎the Hereman-Nuseri method shows that our results give‎ further solutions‎. ‎Many other such types of nonlinear equations‎ arise in fluid dynamics‎, ‎plasma ‎physics,‎ and nonlinear physics‎. %U https://cmde.tabrizu.ac.ir/article_12218_662e8f57484e2b59730502a4b3c2b042.pdf